diff --git a/packages/babel-traverse/src/path/context.ts b/packages/babel-traverse/src/path/context.ts
index 3a9aa5620cf3..44fd54bee868 100644
--- a/packages/babel-traverse/src/path/context.ts
+++ b/packages/babel-traverse/src/path/context.ts
@@ -119,6 +119,10 @@ export function setScope(this: NodePath) {
   if (this.opts && this.opts.noScope) return;
 
   let path = this.parentPath;
+
+  // Skip method scope if is computed method key
+  if (this.key === "key" && path.isMethod()) path = path.parentPath;
+
   let target;
   while (path && !target) {
     if (path.opts && path.opts.noScope) return;
diff --git a/packages/babel-traverse/src/scope/index.ts b/packages/babel-traverse/src/scope/index.ts
index e592fc1e2fc7..169f8a585e98 100644
--- a/packages/babel-traverse/src/scope/index.ts
+++ b/packages/babel-traverse/src/scope/index.ts
@@ -359,7 +359,16 @@ export default class Scope {
   static contextVariables = ["arguments", "undefined", "Infinity", "NaN"];
 
   get parent() {
-    const parent = this.path.findParent(p => p.isScope());
+    let parent,
+      path = this.path;
+    do {
+      // Skip method scope if coming from inside computed key
+      const isKey = path.key === "key";
+      path = path.parentPath;
+      if (isKey && path.isMethod()) path = path.parentPath;
+      if (path && path.isScope()) parent = path;
+    } while (path && !parent);
+
     return parent?.scope;
   }
 
diff --git a/packages/babel-traverse/test/scope.js b/packages/babel-traverse/test/scope.js
index ed0bbd9d8302..67590ac396f5 100644
--- a/packages/babel-traverse/test/scope.js
+++ b/packages/babel-traverse/test/scope.js
@@ -168,6 +168,74 @@ describe("scope", () => {
       });
     });
 
+    describe("computed method key", () => {
+      describe("should not have visibility of declarations inside method body", () => {
+        it("when path is computed key", () => {
+          expect(
+            getPath(`var a = "outside"; ({ [a]() { let a = "inside" } })`)
+              .get("body.1.expression.properties.0.key")
+              .scope.getBinding("a").path.node.init.value,
+          ).toBe("outside");
+
+          expect(
+            getPath(
+              `var a = "outside"; class foo { [a]() { let a = "inside" } }`,
+            )
+              .get("body.1.body.body.0.key")
+              .scope.getBinding("a").path.node.init.value,
+          ).toBe("outside");
+        });
+
+        it("when path is in nested scope which is computed key", () => {
+          expect(
+            getPath(`var a = "outside"; ({ [() => a]() { let a = "inside" } })`)
+              .get("body.1.expression.properties.0.key.body")
+              .scope.getBinding("a").path.node.init.value,
+          ).toBe("outside");
+
+          expect(
+            getPath(
+              `var a = "outside"; class foo { [() => a]() { let a = "inside" } }`,
+            )
+              .get("body.1.body.body.0.key.body")
+              .scope.getBinding("a").path.node.init.value,
+          ).toBe("outside");
+        });
+
+        it("when path is in nested scope within computed key", () => {
+          expect(
+            getPath(
+              `var a = "outside"; ({ [(() => a)() + ""]() { let a = "inside" } })`,
+            )
+              .get("body.1.expression.properties.0.key.left.callee.body")
+              .scope.getBinding("a").path.node.init.value,
+          ).toBe("outside");
+
+          expect(
+            getPath(
+              `var a = "outside"; class foo { [(() => a)() + ""]() { let a = "inside" } }`,
+            )
+              .get("body.1.body.body.0.key.left.callee.body")
+              .scope.getBinding("a").path.node.init.value,
+          ).toBe("outside");
+        });
+      });
+
+      it("should not have visibility on parameter bindings", () => {
+        expect(
+          getPath(`var a = "outside"; ({ [a](a = "inside") {} })`)
+            .get("body.1.expression.properties.0.key")
+            .scope.getBinding("a").path.node.init.value,
+        ).toBe("outside");
+
+        expect(
+          getPath(`var a = "outside"; class foo { [a](a = "inside") {} }`)
+            .get("body.1.body.body.0.key")
+            .scope.getBinding("a").path.node.init.value,
+        ).toBe("outside");
+      });
+    });
+
     it("variable declaration", function () {
       expect(getPath("var foo = null;").scope.getBinding("foo").path.type).toBe(
         "VariableDeclarator",