diff --git a/packages/babel-plugin-minify-simplify/__tests__/fixtures/eqnull/actual.js b/packages/babel-plugin-minify-simplify/__tests__/fixtures/eqnull/actual.js
new file mode 100644
index 000000000..6858e7693
--- /dev/null
+++ b/packages/babel-plugin-minify-simplify/__tests__/fixtures/eqnull/actual.js
@@ -0,0 +1,3 @@
+x == undefined;
+x == void 0;
+x === undefined;
diff --git a/packages/babel-plugin-minify-simplify/__tests__/fixtures/eqnull/expected.js b/packages/babel-plugin-minify-simplify/__tests__/fixtures/eqnull/expected.js
new file mode 100644
index 000000000..9ef47da34
--- /dev/null
+++ b/packages/babel-plugin-minify-simplify/__tests__/fixtures/eqnull/expected.js
@@ -0,0 +1 @@
+x == null, x == null, x === undefined;
\ No newline at end of file
diff --git a/packages/babel-plugin-minify-simplify/src/index.js b/packages/babel-plugin-minify-simplify/src/index.js
index 426634f69..7a1de9637 100644
--- a/packages/babel-plugin-minify-simplify/src/index.js
+++ b/packages/babel-plugin-minify-simplify/src/index.js
@@ -119,6 +119,13 @@ module.exports = ({ types: t }) => {
         ]
       },
 
+      BinaryExpression(path) {
+        if (["!=", "=="].indexOf(path.node.operator) !== -1) {
+          undefinedToNull(path.get("left"));
+          undefinedToNull(path.get("right"));
+        }
+      },
+
       LogicalExpression: {
         exit: logicalExpression.simplifyPatterns
       },
@@ -1141,4 +1148,21 @@ module.exports = ({ types: t }) => {
   function isAncestor(path1, path2) {
     return !!path2.findParent(parent => parent === path1);
   }
+
+  function isPureVoid(path) {
+    return path.isUnaryExpression({ operator: "void" }) && path.isPure();
+  }
+
+  function isGlobalUndefined(path) {
+    return (
+      path.isIdentifier({ name: "undefined" }) &&
+      !path.scope.getBinding("undefined")
+    );
+  }
+
+  function undefinedToNull(path) {
+    if (isGlobalUndefined(path) || isPureVoid(path)) {
+      path.replaceWith(t.nullLiteral());
+    }
+  }
 };
diff --git a/packages/babel-plugin-transform-simplify-comparison-operators/src/index.js b/packages/babel-plugin-transform-simplify-comparison-operators/src/index.js
index 28891b9f1..d543432b4 100644
--- a/packages/babel-plugin-transform-simplify-comparison-operators/src/index.js
+++ b/packages/babel-plugin-transform-simplify-comparison-operators/src/index.js
@@ -70,6 +70,7 @@ module.exports = function({ types: t }) {
       BinaryExpression(path) {
         const { node } = path;
         const op = node.operator;
+
         if (op !== "===" && op !== "!==") {
           return;
         }