diff --git a/packages/babel-helper-member-expression-to-functions/src/index.ts b/packages/babel-helper-member-expression-to-functions/src/index.ts
index 7f8f74ab361d..cf69866eaf2d 100644
--- a/packages/babel-helper-member-expression-to-functions/src/index.ts
+++ b/packages/babel-helper-member-expression-to-functions/src/index.ts
@@ -247,6 +247,11 @@ const handle = {
       } else if (parentIsCall) {
         // `(a?.#b)()` to `(a == null ? void 0 : a.#b.bind(a))()`
         member.replaceWith(this.boundGet(member));
+      } else if (
+        this.delete &&
+        parentPath.isUnaryExpression({ operator: "delete" })
+      ) {
+        parentPath.replaceWith(this.delete(member));
       } else {
         member.replaceWith(this.get(member));
       }
@@ -491,6 +496,12 @@ const handle = {
       return;
     }
 
+    // delete MEMBER -> _delete(MEMBER)
+    if (this.delete && parentPath.isUnaryExpression({ operator: "delete" })) {
+      parentPath.replaceWith(this.delete(member));
+      return;
+    }
+
     // for (MEMBER of ARR)
     // for (MEMBER in ARR)
     // { KEY: MEMBER } = OBJ -> { KEY: _destructureSet(MEMBER) } = OBJ
@@ -562,6 +573,9 @@ export interface Handler<State> {
     member: Member,
     args: t.OptionalCallExpression["arguments"],
   ): t.Expression;
+  // TODO(Babel 8): Consider making this required, since `.get` doesn't
+  // really work as a fallback for `.delete`
+  delete?(this: HandlerState<State> & State, member: Member): t.Expression;
 }
 
 export interface HandlerState<State = {}> extends Handler<State> {
diff --git a/packages/babel-helper-replace-supers/package.json b/packages/babel-helper-replace-supers/package.json
index 2440757f93c6..145ae5fa8e91 100644
--- a/packages/babel-helper-replace-supers/package.json
+++ b/packages/babel-helper-replace-supers/package.json
@@ -17,6 +17,7 @@
     "@babel/helper-environment-visitor": "workspace:^",
     "@babel/helper-member-expression-to-functions": "workspace:^",
     "@babel/helper-optimise-call-expression": "workspace:^",
+    "@babel/template": "workspace:^",
     "@babel/traverse": "workspace:^",
     "@babel/types": "workspace:^"
   },
diff --git a/packages/babel-helper-replace-supers/src/index.ts b/packages/babel-helper-replace-supers/src/index.ts
index 4699b7fdddf0..95b8f1c75c48 100644
--- a/packages/babel-helper-replace-supers/src/index.ts
+++ b/packages/babel-helper-replace-supers/src/index.ts
@@ -1,9 +1,11 @@
-import type { NodePath, Scope } from "@babel/traverse";
-import traverse from "@babel/traverse";
+import type { File } from "@babel/core";
+import environmentVisitor from "@babel/helper-environment-visitor";
 import memberExpressionToFunctions from "@babel/helper-member-expression-to-functions";
 import type { HandlerState } from "@babel/helper-member-expression-to-functions";
 import optimiseCall from "@babel/helper-optimise-call-expression";
-import environmentVisitor from "@babel/helper-environment-visitor";
+import template from "@babel/template";
+import traverse from "@babel/traverse";
+import type { NodePath, Scope } from "@babel/traverse";
 import {
   assignmentExpression,
   booleanLiteral,
@@ -16,7 +18,6 @@ import {
   thisExpression,
 } from "@babel/types";
 import type * as t from "@babel/types";
-import type { File } from "@babel/core";
 
 // TODO (Babel 8): Don't export this.
 export {
@@ -107,7 +108,13 @@ type SuperMember = NodePath<
 interface SpecHandler
   extends Pick<
     Handler,
-    "get" | "set" | "destructureSet" | "call" | "optionalCall" | "memoise"
+    | "memoise"
+    | "get"
+    | "set"
+    | "destructureSet"
+    | "call"
+    | "optionalCall"
+    | "delete"
   > {
   _get(
     this: Handler & SpecHandler,
@@ -240,6 +247,23 @@ const specHandlers: SpecHandler = {
       true,
     );
   },
+
+  delete(this: Handler & SpecHandler, superMember: SuperMember) {
+    if (superMember.node.computed) {
+      return sequenceExpression([
+        callExpression(this.file.addHelper("toPropertyKey"), [
+          cloneNode(superMember.node.property),
+        ]),
+        template.expression.ast`
+          function () { throw new ReferenceError("'delete super[expr]' is invalid"); }()
+        `,
+      ]);
+    } else {
+      return template.expression.ast`
+        function () { throw new ReferenceError("'delete super.prop' is invalid"); }()
+      `;
+    }
+  },
 };
 
 const looseHandlers = {
diff --git a/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/exec.js b/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/exec.js
new file mode 100644
index 000000000000..81cd1316437e
--- /dev/null
+++ b/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/exec.js
@@ -0,0 +1,15 @@
+expect(() => {
+  new class { y = delete super.x; };
+}).toThrow(ReferenceError);
+
+expect(() => {
+  new class { y = delete super[0]; };
+}).toThrow(ReferenceError);
+
+expect(() => {
+  class X1 { static y = delete super.x; }
+}).toThrow(ReferenceError);
+
+expect(() => {
+  class X2 { static y = delete super[0]; }
+}).toThrow(ReferenceError);
diff --git a/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/input.js b/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/input.js
new file mode 100644
index 000000000000..d26af64a6c62
--- /dev/null
+++ b/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/input.js
@@ -0,0 +1,7 @@
+new class { y = delete super.x; };
+
+new class { y = delete super[0]; };
+
+class X1 { static y = delete super.x; }
+
+class X2 { static y = delete super[0]; }
diff --git a/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/output.js b/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/output.js
new file mode 100644
index 000000000000..659f3fe45998
--- /dev/null
+++ b/packages/babel-plugin-proposal-class-properties/test/fixtures/public/delete-super-property/output.js
@@ -0,0 +1,38 @@
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class2() {
+    babelHelpers.classCallCheck(this, _class2);
+    babelHelpers.defineProperty(this, "y", function () {
+      throw new ReferenceError("'delete super.prop' is invalid");
+    }());
+  }
+  return babelHelpers.createClass(_class2);
+}())();
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class4() {
+    babelHelpers.classCallCheck(this, _class4);
+    babelHelpers.defineProperty(this, "y", (babelHelpers.toPropertyKey(0), function () {
+      throw new ReferenceError("'delete super[expr]' is invalid");
+    }()));
+  }
+  return babelHelpers.createClass(_class4);
+}())();
+var X1 = /*#__PURE__*/babelHelpers.createClass(function X1() {
+  "use strict";
+
+  babelHelpers.classCallCheck(this, X1);
+});
+babelHelpers.defineProperty(X1, "y", function () {
+  throw new ReferenceError("'delete super.prop' is invalid");
+}());
+var X2 = /*#__PURE__*/babelHelpers.createClass(function X2() {
+  "use strict";
+
+  babelHelpers.classCallCheck(this, X2);
+});
+babelHelpers.defineProperty(X2, "y", (babelHelpers.toPropertyKey(0), function () {
+  throw new ReferenceError("'delete super[expr]' is invalid");
+}()));
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/exec.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/exec.js
new file mode 100644
index 000000000000..1106e7bce89c
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/exec.js
@@ -0,0 +1,23 @@
+// [Symbol.toPrimitive] must be called if exist
+var counter = 0;
+expect(() => {
+  (new class {
+    f() {
+      delete super[{
+        [Symbol.toPrimitive]: function() { ++counter; return 0; },
+      }];
+    }
+  }).f();
+}).toThrow(ReferenceError);
+expect(counter).toBe(1);
+
+// [Symbol.toPrimitive] must return a primitive value
+expect(() => {
+  (new class {
+    f() {
+      delete super[{
+        [Symbol.toPrimitive]: function() { return {}; },
+      }];
+    }
+  }).f();
+}).toThrow(TypeError);
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/input.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/input.js
new file mode 100644
index 000000000000..27844647551a
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/input.js
@@ -0,0 +1,18 @@
+// [Symbol.toPrimitive] must be called if exist
+var counter = 0;
+(new class {
+  f() {
+    delete super[{
+      [Symbol.toPrimitive]: function() { ++counter; return 0; },
+    }];
+  }
+}).f();
+
+// [Symbol.toPrimitive] must return a primitive value
+(new class {
+  f() {
+    delete super[{
+      [Symbol.toPrimitive]: function() { return {}; },
+    }];
+  }
+}).f();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/output.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/output.js
new file mode 100644
index 000000000000..6d8decbf3295
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property-to-property-key/output.js
@@ -0,0 +1,45 @@
+// [Symbol.toPrimitive] must be called if exist
+var counter = 0;
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class() {
+    babelHelpers.classCallCheck(this, _class);
+  }
+  babelHelpers.createClass(_class, [{
+    key: "f",
+    value: function f() {
+      babelHelpers.toPropertyKey({
+        [Symbol.toPrimitive]: function () {
+          ++counter;
+          return 0;
+        }
+      }), function () {
+        throw new ReferenceError("'delete super[expr]' is invalid");
+      }();
+    }
+  }]);
+  return _class;
+}())().f();
+
+// [Symbol.toPrimitive] must return a primitive value
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class2() {
+    babelHelpers.classCallCheck(this, _class2);
+  }
+  babelHelpers.createClass(_class2, [{
+    key: "f",
+    value: function f() {
+      babelHelpers.toPropertyKey({
+        [Symbol.toPrimitive]: function () {
+          return {};
+        }
+      }), function () {
+        throw new ReferenceError("'delete super[expr]' is invalid");
+      }();
+    }
+  }]);
+  return _class2;
+}())().f();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/exec.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/exec.js
new file mode 100644
index 000000000000..b7263306e35f
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/exec.js
@@ -0,0 +1,27 @@
+expect(() => {
+  (new class {
+    f() { delete super.x; }
+  }).f();
+}).toThrow(ReferenceError);
+
+expect(() => {
+  (new class {
+    f() { delete super[0]; }
+  }).f();
+}).toThrow(ReferenceError);
+
+// [expr] should be evaluated
+var counter = 0;
+expect(() => {
+  (new class {
+    f() { delete super[++counter]; }
+  }).f();
+}).toThrow(ReferenceError);
+expect(counter).toBe(1);
+
+// TypeError before ReferenceError
+expect(() => {
+  (new class {
+    f() { delete super[0()]; }
+  }).f();
+}).toThrow(TypeError);
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/input.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/input.js
new file mode 100644
index 000000000000..7e7fea3ee5d2
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/input.js
@@ -0,0 +1,18 @@
+(new class {
+  f() { delete super.x; }
+}).f();
+
+(new class {
+  f() { delete super[0]; }
+}).f();
+
+// [expr] should be evaluated
+var counter = 0;
+(new class {
+  f() { delete super[++counter]; }
+}).f();
+
+// TypeError before ReferenceError
+(new class {
+  f() { delete super[0()]; }
+}).f();
diff --git a/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/output.js b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/output.js
new file mode 100644
index 000000000000..e486ce97555e
--- /dev/null
+++ b/packages/babel-plugin-transform-classes/test/fixtures/spec/delete-super-property/output.js
@@ -0,0 +1,69 @@
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class() {
+    babelHelpers.classCallCheck(this, _class);
+  }
+  babelHelpers.createClass(_class, [{
+    key: "f",
+    value: function f() {
+      (function () {
+        throw new ReferenceError("'delete super.prop' is invalid");
+      })();
+    }
+  }]);
+  return _class;
+}())().f();
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class2() {
+    babelHelpers.classCallCheck(this, _class2);
+  }
+  babelHelpers.createClass(_class2, [{
+    key: "f",
+    value: function f() {
+      babelHelpers.toPropertyKey(0), function () {
+        throw new ReferenceError("'delete super[expr]' is invalid");
+      }();
+    }
+  }]);
+  return _class2;
+}())().f();
+
+// [expr] should be evaluated
+var counter = 0;
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class3() {
+    babelHelpers.classCallCheck(this, _class3);
+  }
+  babelHelpers.createClass(_class3, [{
+    key: "f",
+    value: function f() {
+      babelHelpers.toPropertyKey(++counter), function () {
+        throw new ReferenceError("'delete super[expr]' is invalid");
+      }();
+    }
+  }]);
+  return _class3;
+}())().f();
+
+// TypeError before ReferenceError
+new ( /*#__PURE__*/function () {
+  "use strict";
+
+  function _class4() {
+    babelHelpers.classCallCheck(this, _class4);
+  }
+  babelHelpers.createClass(_class4, [{
+    key: "f",
+    value: function f() {
+      babelHelpers.toPropertyKey(0()), function () {
+        throw new ReferenceError("'delete super[expr]' is invalid");
+      }();
+    }
+  }]);
+  return _class4;
+}())().f();
diff --git a/yarn.lock b/yarn.lock
index 8ba1cf3aed27..5ba26097eed9 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -882,6 +882,7 @@ __metadata:
     "@babel/helper-environment-visitor": "workspace:^"
     "@babel/helper-member-expression-to-functions": "workspace:^"
     "@babel/helper-optimise-call-expression": "workspace:^"
+    "@babel/template": "workspace:^"
     "@babel/traverse": "workspace:^"
     "@babel/types": "workspace:^"
   languageName: unknown