diff --git a/packages/babel-plugin-transform-es2015-modules-umd/README.md b/packages/babel-plugin-transform-es2015-modules-umd/README.md
index c96b1cdf4a..cfcdc5b359 100644
--- a/packages/babel-plugin-transform-es2015-modules-umd/README.md
+++ b/packages/babel-plugin-transform-es2015-modules-umd/README.md
@@ -18,6 +18,22 @@ $ npm install babel-plugin-transform-es2015-modules-umd
 }
 ```
 
+You can also override the names of particular libraries when this module is
+running in the browser.  For example the `es6-promise` library exposes itself
+as `global.Promise` rather than `global.es6Promise`. This can be accomidated by:
+
+```
+{
+  "plugins": [
+    ["transform-es2015-modules-umd", {
+      "globals": {
+        "es6-promise": "Promise"
+      }
+    }]
+  ]
+}
+```
+
 ### Via CLI
 
 ```sh
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/src/index.js b/packages/babel-plugin-transform-es2015-modules-umd/src/index.js
index cf94ffdc96..26b59f19d0 100644
--- a/packages/babel-plugin-transform-es2015-modules-umd/src/index.js
+++ b/packages/babel-plugin-transform-es2015-modules-umd/src/index.js
@@ -39,7 +39,7 @@ export default function ({ types: t }) {
 
     visitor: {
       Program: {
-        exit(path) {
+        exit(path, state) {
           let last = path.get("body").pop();
           if (!isValidDefine(last)) return;
 
@@ -49,6 +49,7 @@ export default function ({ types: t }) {
           let moduleName = args.length === 3 ? args.shift() : null;
           let amdArgs = call.arguments[0];
           let func = call.arguments[1];
+          let browserGlobals = state.opts.globals || {};
 
           let commonArgs = amdArgs.elements.map((arg) => {
             if (arg.value === "module" || arg.value === "exports") {
@@ -64,8 +65,11 @@ export default function ({ types: t }) {
             } else if (arg.value === "exports") {
               return t.memberExpression(t.identifier("mod"), t.identifier("exports"));
             } else {
+              let requireName = basename(arg.value, extname(arg.value));
+              let globalName = browserGlobals[requireName] || requireName;
+
               return t.memberExpression(t.identifier("global"), t.identifier(
-                t.toIdentifier(basename(arg.value, extname(arg.value)))
+                t.toIdentifier(globalName)
               ));
             }
           });
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/actual.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/actual.js
new file mode 100644
index 0000000000..3d0a8255a4
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/actual.js
@@ -0,0 +1 @@
+import "babel-template";
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/expected.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/expected.js
new file mode 100644
index 0000000000..b93ebd1057
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/expected.js
@@ -0,0 +1,13 @@
+(function (global, factory) {
+  if (typeof define === "function" && define.amd) {
+    define(["babel-template"], factory);
+  } else if (typeof exports !== "undefined") {
+    factory(require("babel-template"));
+  } else {
+    var mod = {
+      exports: {}
+    };
+    factory(global.baz);
+    global.actual = mod.exports;
+  }
+})(this, function () {});
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/options.json b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/options.json
new file mode 100644
index 0000000000..2a7db4bc1a
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/override-import-name/options.json
@@ -0,0 +1,10 @@
+{
+  "plugins": [
+    "external-helpers",
+    ["transform-es2015-modules-umd", {
+      "globals": {
+          "babel-template": "baz"
+        }
+    }]
+  ]
+}