diff --git a/packages/babel-helper-function-name/src/index.ts b/packages/babel-helper-function-name/src/index.ts
index c59c881819bb..418d8c49446e 100644
--- a/packages/babel-helper-function-name/src/index.ts
+++ b/packages/babel-helper-function-name/src/index.ts
@@ -197,9 +197,22 @@ function visit(
 }
 
 /**
- * @param {NodePath} param0
- * @param {Boolean} localBinding whether a name could shadow a self-reference (e.g. converting arrow function)
- * @param {Boolean} supportUnicodeId whether a target support unicodeId or not
+ * Add id to function/class expression inferred from the AST
+ *
+ * @export
+ * @template N The unamed expression type
+ * @param {Object} nodePathLike The NodePath-like input
+ * @param {N} nodePathLike.node an AST node
+ * @param {NodePath<N>["parent"]} [nodePathLike.parent] The parent of the AST node
+ * @param {Scope} nodePathLike.scope The scope associated to the AST node
+ * @param {t.LVal | t.StringLiteral | t.NumericLiteral | t.BigIntLiteral} [nodePathLike.id] the fallback naming source when the helper
+ * can not infer the function name from the AST
+ * @param {boolean} [localBinding=false] whether a name could shadow a self-reference (e.g. converting arrow function)
+ * @param {boolean} [supportUnicodeId=false] whether the compilation target supports unicodeId (non-BMP characters) or not
+ * @returns {(N | t.CallExpression | void)}
+ * - modified node when name can be inferred,
+ * - an IIFE when `node` contains a binding shadowing the inferred function name (e.g. `let f = function (f) {}`),
+ * - `void` when `node` has `id` property or the helper can not inferred the name or the inferred name contains non-BMP characters that is not supported by current target
  */
 export default function <N extends t.FunctionExpression | t.Class>(
   {
@@ -209,13 +222,13 @@ export default function <N extends t.FunctionExpression | t.Class>(
     id,
   }: {
     node: N;
-    parent?: t.Node;
+    parent?: NodePath<N>["parent"];
     scope: Scope;
     id?: t.LVal | t.StringLiteral | t.NumericLiteral | t.BigIntLiteral;
   },
   localBinding = false,
   supportUnicodeId = false,
-): t.CallExpression | N {
+): N | t.CallExpression | void {
   // has an `id` so we don't need to infer one
   if (node.id) return;
 
diff --git a/packages/babel-helper-wrap-function/src/index.ts b/packages/babel-helper-wrap-function/src/index.ts
index 71dc174006b4..503848cc23fb 100644
--- a/packages/babel-helper-wrap-function/src/index.ts
+++ b/packages/babel-helper-wrap-function/src/index.ts
@@ -148,7 +148,7 @@ function plainFunction(
       const returnFn = container.callee.body.body[1].argument;
       nameFunction({
         node: returnFn,
-        parent: path.parent,
+        parent: (path as NodePath<t.FunctionExpression>).parent,
         scope: path.scope,
       });
       functionId = returnFn.id;
diff --git a/packages/babel-plugin-transform-classes/package.json b/packages/babel-plugin-transform-classes/package.json
index 46e4cf51516b..400636fb2ff9 100644
--- a/packages/babel-plugin-transform-classes/package.json
+++ b/packages/babel-plugin-transform-classes/package.json
@@ -15,6 +15,7 @@
   "main": "./lib/index.js",
   "dependencies": {
     "@babel/helper-annotate-as-pure": "workspace:^",
+    "@babel/helper-compilation-targets": "workspace:^",
     "@babel/helper-environment-visitor": "workspace:^",
     "@babel/helper-function-name": "workspace:^",
     "@babel/helper-optimise-call-expression": "workspace:^",
diff --git a/packages/babel-plugin-transform-classes/src/index.ts b/packages/babel-plugin-transform-classes/src/index.ts
index a5e1aa108944..66102f2783cc 100644
--- a/packages/babel-plugin-transform-classes/src/index.ts
+++ b/packages/babel-plugin-transform-classes/src/index.ts
@@ -1,4 +1,5 @@
 import { declare } from "@babel/helper-plugin-utils";
+import { isRequired } from "@babel/helper-compilation-targets";
 import annotateAsPure from "@babel/helper-annotate-as-pure";
 import nameFunction from "@babel/helper-function-name";
 import splitExportDeclaration from "@babel/helper-split-export-declaration";
@@ -30,6 +31,10 @@ export default declare((api, options: Options) => {
     "superIsCallableConstructor",
   ) ?? loose) as boolean;
   const noClassCalls = (api.assumption("noClassCalls") ?? loose) as boolean;
+  const supportUnicodeId = !isRequired(
+    "transform-unicode-escapes",
+    api.targets(),
+  );
 
   // todo: investigate traversal requeueing
   const VISITED = new WeakSet();
@@ -59,7 +64,7 @@ export default declare((api, options: Options) => {
         const { node } = path;
         if (VISITED.has(node)) return;
 
-        const inferred = nameFunction(path);
+        const inferred = nameFunction(path, undefined, supportUnicodeId);
         if (inferred && inferred !== node) {
           path.replaceWith(inferred);
           return;
@@ -68,12 +73,19 @@ export default declare((api, options: Options) => {
         VISITED.add(node);
 
         const [replacedPath] = path.replaceWith(
-          transformClass(path, state.file, builtinClasses, loose, {
-            setClassMethods,
-            constantSuper,
-            superIsCallableConstructor,
-            noClassCalls,
-          }),
+          transformClass(
+            path,
+            state.file,
+            builtinClasses,
+            loose,
+            {
+              setClassMethods,
+              constantSuper,
+              superIsCallableConstructor,
+              noClassCalls,
+            },
+            supportUnicodeId,
+          ),
         );
 
         if (replacedPath.isCallExpression()) {
diff --git a/packages/babel-plugin-transform-classes/src/transformClass.ts b/packages/babel-plugin-transform-classes/src/transformClass.ts
index b9fa6c970617..e87563e3db59 100644
--- a/packages/babel-plugin-transform-classes/src/transformClass.ts
+++ b/packages/babel-plugin-transform-classes/src/transformClass.ts
@@ -98,6 +98,7 @@ export default function transformClass(
   builtinClasses: ReadonlySet<string>,
   isLoose: boolean,
   assumptions: ClassAssumptions,
+  supportUnicodeId: boolean,
 ) {
   const classState: State = {
     parent: undefined,
@@ -509,7 +510,14 @@ export default function transformClass(
       if (node.kind === "method") {
         // @ts-expect-error Fixme: we are passing a ClassMethod to nameFunction, but nameFunction
         // does not seem to support it
-        fn = nameFunction({ id: key, node: node, scope });
+        fn =
+          nameFunction(
+            // @ts-expect-error Fixme: we are passing a ClassMethod to nameFunction, but nameFunction
+            // does not seem to support it
+            { id: key, node: node, scope },
+            undefined,
+            supportUnicodeId,
+          ) ?? fn;
       }
     } else {
       // todo(flow->ts) find a way to avoid "key as t.StringLiteral" below which relies on this assignment
@@ -571,11 +579,17 @@ export default function transformClass(
 
       const key = t.toComputedKey(node, node.key);
       if (t.isStringLiteral(key)) {
-        func = nameFunction({
-          node: func,
-          id: key,
-          scope,
-        });
+        // @ts-expect-error: requires strictNullCheck
+        func =
+          nameFunction(
+            {
+              node: func,
+              id: key,
+              scope,
+            },
+            undefined,
+            supportUnicodeId,
+          ) ?? func;
       }
 
       const expr = t.expressionStatement(
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/input.js b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/options.json b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/options.json
new file mode 100644
index 000000000000..4f4dda8b0e6f
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/options.json
@@ -0,0 +1,4 @@
+{
+  "targets": "chrome 43",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/output.js b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/output.js
new file mode 100644
index 000000000000..a2b3766f2407
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp-not-supported/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  var _proto = o.prototype;
+
+  _proto.𠮷野家 = function () {};
+
+  return babelHelpers.createClass(o);
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/input.js b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/input.js b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/options.json b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/options.json
new file mode 100644
index 000000000000..4f4dda8b0e6f
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/options.json
@@ -0,0 +1,4 @@
+{
+  "targets": "chrome 43",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/output.js b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/output.js
new file mode 100644
index 000000000000..a2b3766f2407
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/method-name-non-bmp-not-supported/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  var _proto = o.prototype;
+
+  _proto.𠮷野家 = function () {};
+
+  return babelHelpers.createClass(o);
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/options.json b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/options.json
new file mode 100644
index 000000000000..027a3446d943
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/options.json
@@ -0,0 +1,4 @@
+{
+  "targets": "chrome 44",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/output.js b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/output.js
new file mode 100644
index 000000000000..97f57de023a8
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/assumption-setClassMethods/method-name-non-bmp/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  var _proto = o.prototype;
+
+  _proto.𠮷野家 = function 𠮷野家() {};
+
+  return babelHelpers.createClass(o);
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/input.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/options.json b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/options.json
new file mode 100644
index 000000000000..58d9cda2d5d4
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": false,
+  "targets": "chrome 44",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/output.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/output.js
new file mode 100644
index 000000000000..f5e729e2578f
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-babel-7/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "\uD842\uDFB7\u91CE\u5BB6",
+    value: function 𠮷野家() {}
+  }]);
+  return o;
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/input.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/options.json b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/options.json
new file mode 100644
index 000000000000..b202097b1132
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": false,
+  "targets": "chrome 43",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/output.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/output.js
new file mode 100644
index 000000000000..edf492a0b929
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported-babel-7/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "\uD842\uDFB7\u91CE\u5BB6",
+    value: function () {}
+  }]);
+  return o;
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/input.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/options.json b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/options.json
new file mode 100644
index 000000000000..c0e4ca0dbdb0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": true,
+  "targets": "chrome 43",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/output.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/output.js
new file mode 100644
index 000000000000..171495b4bea2
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp-not-supported/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "𠮷野家",
+    value: function () {}
+  }]);
+  return o;
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/input.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/options.json b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/options.json
new file mode 100644
index 000000000000..004d388a68ac
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": true,
+  "targets": "chrome 44",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/output.js b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/output.js
new file mode 100644
index 000000000000..599fb71a7ab8
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/loose/method-name-non-bmp/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "𠮷野家",
+    value: function 𠮷野家() {}
+  }]);
+  return o;
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/input.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/options.json b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/options.json
new file mode 100644
index 000000000000..58d9cda2d5d4
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": false,
+  "targets": "chrome 44",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/output.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/output.js
new file mode 100644
index 000000000000..f5e729e2578f
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-babel-7/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "\uD842\uDFB7\u91CE\u5BB6",
+    value: function 𠮷野家() {}
+  }]);
+  return o;
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/input.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/options.json b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/options.json
new file mode 100644
index 000000000000..b202097b1132
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": false,
+  "targets": "chrome 43",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/output.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/output.js
new file mode 100644
index 000000000000..edf492a0b929
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported-babel-7/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "\uD842\uDFB7\u91CE\u5BB6",
+    value: function () {}
+  }]);
+  return o;
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/input.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/options.json b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/options.json
new file mode 100644
index 000000000000..c0e4ca0dbdb0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": true,
+  "targets": "chrome 43",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/output.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/output.js
new file mode 100644
index 000000000000..171495b4bea2
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp-not-supported/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "𠮷野家",
+    value: function () {}
+  }]);
+  return o;
+}();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/input.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/input.js
new file mode 100644
index 000000000000..578cc35369a0
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/input.js
@@ -0,0 +1 @@
+var o = class { 𠮷野家() {} };
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/options.json b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/options.json
new file mode 100644
index 000000000000..004d388a68ac
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/options.json
@@ -0,0 +1,5 @@
+{
+  "BABEL_8_BREAKING": true,
+  "targets": "chrome 44",
+  "plugins": ["transform-classes"]
+}
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/output.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/output.js
new file mode 100644
index 000000000000..599fb71a7ab8
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/method-name-non-bmp/output.js
@@ -0,0 +1,13 @@
+var o = /*#__PURE__*/function () {
+  "use strict";
+
+  function o() {
+    babelHelpers.classCallCheck(this, o);
+  }
+
+  babelHelpers.createClass(o, [{
+    key: "𠮷野家",
+    value: function 𠮷野家() {}
+  }]);
+  return o;
+}();
diff --git a/yarn.lock b/yarn.lock
index 4ed654ddf09b..53679091b4b7 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -2329,6 +2329,7 @@ __metadata:
   dependencies:
     "@babel/core": "workspace:^"
     "@babel/helper-annotate-as-pure": "workspace:^"
+    "@babel/helper-compilation-targets": "workspace:^"
     "@babel/helper-environment-visitor": "workspace:^"
     "@babel/helper-function-name": "workspace:^"
     "@babel/helper-optimise-call-expression": "workspace:^"