diff --git a/packages/babel-plugin-transform-es2015-modules-umd/README.md b/packages/babel-plugin-transform-es2015-modules-umd/README.md
index 823cd428fb..9af5b210c0 100644
--- a/packages/babel-plugin-transform-es2015-modules-umd/README.md
+++ b/packages/babel-plugin-transform-es2015-modules-umd/README.md
@@ -36,7 +36,7 @@ as `global.Promise` rather than `global.es6Promise`. This can be accommodated by
 
 #### Default semantics
 
-There are a couple things to note about the default semantics.
+There are a few things to note about the default semantics.
 
 _First_, this transform uses the
 [basename](https://en.wikipedia.org/wiki/Basename) of each import to generate
@@ -88,9 +88,11 @@ This means that if you specify an override as a member expression like:
 this will _not_ transpile to `factory(global.fizz.buzz)`. Instead, it will
 transpile to `factory(global.fizzBuzz)` based on the logic in `toIdentifier`.
 
+_Third_, you cannot override the exported global name.
+
 #### More flexible semantics with `exactGlobals: true`
 
-Both of these behaviors can limit the flexibility of the `globals` map. To
+All of these behaviors can limit the flexibility of the `globals` map. To
 remove these limitations, you can set the `exactGlobals` option to `true`.
 Doing this instructs the plugin to:
 
@@ -99,6 +101,8 @@ the global names
 2. skip passing `globals` overrides to the `toIdentifier` function. Instead,
 they are used exactly as written, so you will get errors if you do not use
 valid identifiers or valid uncomputed (dot) member expressions.
+3. allow the exported global name to be overridden via the `globals` map. Any
+override must again be a valid identifier or valid member expression.
 
 Thus, if you set `exactGlobals` to `true` and do not pass any overrides, the
 first example of:
@@ -132,6 +136,33 @@ then it'll transpile to:
 factory(global.fooBAR, global.mylib.fooBar)
 ```
 
+Finally, with the plugin options set to:
+
+```json
+{
+  "plugins": [
+    "external-helpers",
+    ["transform-es2015-modules-umd", {
+      "globals": {
+        "my/custom/module/name": "My.Custom.Module.Name"
+      },
+      "exactGlobals": true
+    }]
+  ],
+  "moduleId": "my/custom/module/name"
+}
+```
+
+it will transpile to:
+
+```js
+factory(mod.exports);
+global.My = global.My || {};
+global.My.Custom = global.My.Custom || {};
+global.My.Custom.Module = global.My.Custom.Module || {};
+global.My.Custom.Module.Name = mod.exports;
+```
+
 ### 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 cbe8cae0ee..f672e618fc 100644
--- a/packages/babel-plugin-transform-es2015-modules-umd/src/index.js
+++ b/packages/babel-plugin-transform-es2015-modules-umd/src/index.js
@@ -3,6 +3,17 @@
 import { basename, extname } from "path";
 import template from "babel-template";
 
+let buildPrerequisiteAssignment = template(`
+  GLOBAL_REFERENCE = GLOBAL_REFERENCE || {}
+`);
+
+let buildGlobalExport = template(`
+  var mod = { exports: {} };
+  factory(BROWSER_ARGUMENTS);
+  PREREQUISITE_ASSIGNMENTS
+  GLOBAL_TO_ASSIGN = mod.exports;
+`);
+
 let buildWrapper = template(`
   (function (global, factory) {
     if (typeof define === "function" && define.amd) {
@@ -10,9 +21,7 @@ let buildWrapper = template(`
     } else if (typeof exports !== "undefined") {
       factory(COMMON_ARGUMENTS);
     } else {
-      var mod = { exports: {} };
-      factory(BROWSER_ARGUMENTS);
-      global.GLOBAL_ARG = mod.exports;
+      GLOBAL_EXPORT
     }
   })(this, FUNC);
 `);
@@ -94,14 +103,45 @@ export default function ({ types: t }) {
             }
           });
 
-          let globalArg = t.identifier(t.toIdentifier(moduleName ? moduleName.value : this.file.opts.basename));
+          let moduleNameOrBasename = moduleName ? moduleName.value : this.file.opts.basename;
+          let globalToAssign = t.memberExpression(
+            t.identifier("global"), t.identifier(t.toIdentifier(moduleNameOrBasename))
+          );
+          let prerequisiteAssignments = null;
+
+          if (state.opts.exactGlobals) {
+            let globalName = browserGlobals[moduleNameOrBasename];
+
+            if (globalName) {
+              if (globalName.indexOf(".") > -1) {
+                prerequisiteAssignments = [];
+
+                let members = globalName.split(".");
+                let namespacedProperties = members.slice(1).reduce((accum, curr, index) => {
+                  let prerequisiteAssignment = buildPrerequisiteAssignment({ GLOBAL_REFERENCE: accum[index] });
+                  prerequisiteAssignments.push(prerequisiteAssignment);
+                  accum.push(t.memberExpression(accum[index], t.identifier(curr)));
+                  return accum;
+                }, [t.memberExpression(t.identifier("global"), t.identifier(members[0]))]);
+
+                globalToAssign = namespacedProperties[namespacedProperties.length -1];
+              } else {
+                globalToAssign = t.memberExpression(t.identifier("global"), t.identifier(globalName));
+              }
+            }
+          }
+
+          let globalExport = buildGlobalExport({
+            BROWSER_ARGUMENTS: browserArgs,
+            PREREQUISITE_ASSIGNMENTS: prerequisiteAssignments,
+            GLOBAL_TO_ASSIGN: globalToAssign
+          });
 
           last.replaceWith(buildWrapper({
             MODULE_NAME: moduleName,
-            BROWSER_ARGUMENTS: browserArgs,
             AMD_ARGUMENTS: amdArgs,
             COMMON_ARGUMENTS: commonArgs,
-            GLOBAL_ARG: globalArg,
+            GLOBAL_EXPORT: globalExport,
             FUNC: func
           }));
         }
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/actual.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/actual.js
new file mode 100644
index 0000000000..7a4e8a723a
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/actual.js
@@ -0,0 +1 @@
+export default 42;
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/expected.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/expected.js
new file mode 100644
index 0000000000..9000a0b8bd
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/expected.js
@@ -0,0 +1,21 @@
+(function (global, factory) {
+  if (typeof define === "function" && define.amd) {
+    define("my custom module name", ["exports"], factory);
+  } else if (typeof exports !== "undefined") {
+    factory(exports);
+  } else {
+    var mod = {
+      exports: {}
+    };
+    factory(mod.exports);
+    global.foo = global.foo || {};
+    global.foo.bar = mod.exports;
+  }
+})(this, function (exports) {
+  "use strict";
+
+  Object.defineProperty(exports, "__esModule", {
+    value: true
+  });
+  exports.default = 42;
+});
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/options.json b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/options.json
new file mode 100644
index 0000000000..23eb69e3b8
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-namespace/options.json
@@ -0,0 +1,12 @@
+{
+  "plugins": [
+    "external-helpers",
+    ["transform-es2015-modules-umd", {
+      "globals": {
+        "my custom module name": "foo.bar"
+      },
+      "exactGlobals": true
+    }]
+  ],
+  "moduleId": "my custom module name"
+}
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/actual.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/actual.js
new file mode 100644
index 0000000000..7a4e8a723a
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/actual.js
@@ -0,0 +1 @@
+export default 42;
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/expected.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/expected.js
new file mode 100644
index 0000000000..52ab4409c0
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/expected.js
@@ -0,0 +1,23 @@
+(function (global, factory) {
+  if (typeof define === "function" && define.amd) {
+    define("my custom module name", ["exports"], factory);
+  } else if (typeof exports !== "undefined") {
+    factory(exports);
+  } else {
+    var mod = {
+      exports: {}
+    };
+    factory(mod.exports);
+    global.foo = global.foo || {};
+    global.foo.bar = global.foo.bar || {};
+    global.foo.bar.baz = global.foo.bar.baz || {};
+    global.foo.bar.baz.qux = mod.exports;
+  }
+})(this, function (exports) {
+  "use strict";
+
+  Object.defineProperty(exports, "__esModule", {
+    value: true
+  });
+  exports.default = 42;
+});
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/options.json b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/options.json
new file mode 100644
index 0000000000..ad97739f25
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global-in-very-nested-namespace/options.json
@@ -0,0 +1,12 @@
+{
+  "plugins": [
+    "external-helpers",
+    ["transform-es2015-modules-umd", {
+      "globals": {
+        "my custom module name": "foo.bar.baz.qux"
+      },
+      "exactGlobals": true
+    }]
+  ],
+  "moduleId": "my custom module name"
+}
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/actual.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/actual.js
new file mode 100644
index 0000000000..7a4e8a723a
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/actual.js
@@ -0,0 +1 @@
+export default 42;
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/expected.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/expected.js
new file mode 100644
index 0000000000..88c2787a3a
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/expected.js
@@ -0,0 +1,20 @@
+(function (global, factory) {
+  if (typeof define === "function" && define.amd) {
+    define("my custom module name", ["exports"], factory);
+  } else if (typeof exports !== "undefined") {
+    factory(exports);
+  } else {
+    var mod = {
+      exports: {}
+    };
+    factory(mod.exports);
+    global.baz = mod.exports;
+  }
+})(this, function (exports) {
+  "use strict";
+
+  Object.defineProperty(exports, "__esModule", {
+    value: true
+  });
+  exports.default = 42;
+});
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/options.json b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/options.json
new file mode 100644
index 0000000000..88df10bb74
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-id-with-overridden-global/options.json
@@ -0,0 +1,12 @@
+{
+  "plugins": [
+    "external-helpers",
+    ["transform-es2015-modules-umd", {
+      "globals": {
+        "my custom module name": "baz"
+      },
+      "exactGlobals": true
+    }]
+  ],
+  "moduleId": "my custom module name"
+}
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/actual.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/actual.js
new file mode 100644
index 0000000000..7a4e8a723a
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/actual.js
@@ -0,0 +1 @@
+export default 42;
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/expected.js b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/expected.js
new file mode 100644
index 0000000000..777602f707
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/expected.js
@@ -0,0 +1,20 @@
+(function (global, factory) {
+  if (typeof define === "function" && define.amd) {
+    define("umd/module-name-with-overridden-global/expected", ["exports"], factory);
+  } else if (typeof exports !== "undefined") {
+    factory(exports);
+  } else {
+    var mod = {
+      exports: {}
+    };
+    factory(mod.exports);
+    global.baz = mod.exports;
+  }
+})(this, function (exports) {
+  "use strict";
+
+  Object.defineProperty(exports, "__esModule", {
+    value: true
+  });
+  exports.default = 42;
+});
diff --git a/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/options.json b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/options.json
new file mode 100644
index 0000000000..8546968383
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-umd/test/fixtures/umd/module-name-with-overridden-global/options.json
@@ -0,0 +1,12 @@
+{
+  "plugins": [
+    "external-helpers",
+    ["transform-es2015-modules-umd", {
+      "globals": {
+        "umd/module-name-with-overridden-global/expected": "baz"
+      },
+      "exactGlobals": true
+    }]
+  ],
+  "moduleIds": true
+}