diff --git a/packages/babel-plugin-minify-mangle-names/__tests__/mangle-names-test.js b/packages/babel-plugin-minify-mangle-names/__tests__/mangle-names-test.js
index b572b0d09..0eab4a8cc 100644
--- a/packages/babel-plugin-minify-mangle-names/__tests__/mangle-names-test.js
+++ b/packages/babel-plugin-minify-mangle-names/__tests__/mangle-names-test.js
@@ -1105,4 +1105,28 @@ describe("mangle-names", () => {
     `);
     expect(transform(source)).toBe(expected);
   });
+
+  it("should rename binding.identifier - issue#411", () => {
+    const source = unpad(`
+      !function () {
+        function e(e) {
+          foo(e);
+        }
+        return function () {
+          return e();
+        };
+      }();
+    `);
+    const expected = unpad(`
+      !function () {
+        function a(b) {
+          foo(b);
+        }
+        return function () {
+          return a();
+        };
+      }();
+    `);
+    expect(transform(source)).toBe(expected);
+  });
 });
diff --git a/packages/babel-plugin-minify-mangle-names/src/index.js b/packages/babel-plugin-minify-mangle-names/src/index.js
index 7561e4e87..26e650bf6 100644
--- a/packages/babel-plugin-minify-mangle-names/src/index.js
+++ b/packages/babel-plugin-minify-mangle-names/src/index.js
@@ -186,16 +186,20 @@ module.exports = ({ types: t, traverse }) => {
       const binding = scope.getBinding(oldName);
 
       // rename at the declaration level
-      const bindingPaths = binding.path.getBindingIdentifierPaths();
-
-      Object
-        .keys(bindingPaths)
-        .map((b) => {
-          if (b === oldName && !bindingPaths[b][PATH_RENAME_MARKER]) {
-            bindingPaths[b].replaceWith(t.identifier(newName));
-            bindingPaths[b][PATH_RENAME_MARKER] = true;
+      const bindingPaths = binding.path.getBindingIdentifierPaths(true, false);
+
+      // we traverse through all bindingPaths because,
+      // there is no binding.identifierPath in babel
+      for (const name in bindingPaths) {
+        if (name !== oldName) continue;
+        for (const idPath of bindingPaths[name]) {
+          if (binding.identifier === idPath.node) {
+            idPath.replaceWith(t.identifier(newName));
+            binding.identifier = idPath.node;
+            idPath[PATH_RENAME_MARKER] = true;
           }
-        });
+        }
+      }
 
       const {bindings} = scope;
       bindings[newName] = binding;