diff --git a/packages/babel-runtime-corejs2/regenerator/index.js b/packages/babel-runtime-corejs2/regenerator/index.js
index ac55e277f021..876847f0fc11 100644
--- a/packages/babel-runtime-corejs2/regenerator/index.js
+++ b/packages/babel-runtime-corejs2/regenerator/index.js
@@ -1 +1,15 @@
-module.exports = require("../helpers/regeneratorRuntime")();
+// TODO(Babel 8): Remove this file.
+
+const runtime = require("../helpers/regeneratorRuntime")();
+module.exports = runtime;
+
+// Copied from https://github.com/facebook/regenerator/blob/main/packages/runtime/runtime.js#L736=
+try {
+  regeneratorRuntime = runtime;
+} catch (accidentalStrictMode) {
+  if (typeof globalThis === "object") {
+    globalThis.regeneratorRuntime = runtime;
+  } else {
+    Function("r", "regeneratorRuntime = r")(runtime);
+  }
+}
diff --git a/packages/babel-runtime-corejs3/regenerator/index.js b/packages/babel-runtime-corejs3/regenerator/index.js
index ac55e277f021..876847f0fc11 100644
--- a/packages/babel-runtime-corejs3/regenerator/index.js
+++ b/packages/babel-runtime-corejs3/regenerator/index.js
@@ -1 +1,15 @@
-module.exports = require("../helpers/regeneratorRuntime")();
+// TODO(Babel 8): Remove this file.
+
+const runtime = require("../helpers/regeneratorRuntime")();
+module.exports = runtime;
+
+// Copied from https://github.com/facebook/regenerator/blob/main/packages/runtime/runtime.js#L736=
+try {
+  regeneratorRuntime = runtime;
+} catch (accidentalStrictMode) {
+  if (typeof globalThis === "object") {
+    globalThis.regeneratorRuntime = runtime;
+  } else {
+    Function("r", "regeneratorRuntime = r")(runtime);
+  }
+}
diff --git a/packages/babel-runtime/regenerator/index.js b/packages/babel-runtime/regenerator/index.js
index ac55e277f021..876847f0fc11 100644
--- a/packages/babel-runtime/regenerator/index.js
+++ b/packages/babel-runtime/regenerator/index.js
@@ -1 +1,15 @@
-module.exports = require("../helpers/regeneratorRuntime")();
+// TODO(Babel 8): Remove this file.
+
+const runtime = require("../helpers/regeneratorRuntime")();
+module.exports = runtime;
+
+// Copied from https://github.com/facebook/regenerator/blob/main/packages/runtime/runtime.js#L736=
+try {
+  regeneratorRuntime = runtime;
+} catch (accidentalStrictMode) {
+  if (typeof globalThis === "object") {
+    globalThis.regeneratorRuntime = runtime;
+  } else {
+    Function("r", "regeneratorRuntime = r")(runtime);
+  }
+}