diff --git a/src/arrays.js b/src/arrays.js
index 72fa593..f0e3ee7 100644
--- a/src/arrays.js
+++ b/src/arrays.js
@@ -1,3 +1,5 @@
+import { objectIs } from './util';
+
 export default function shallowEqualArrays(arrA, arrB) {
   if (arrA === arrB) {
     return true;
@@ -14,7 +16,7 @@ export default function shallowEqualArrays(arrA, arrB) {
   }
 
   for (var i = 0; i < len; i++) {
-    if (arrA[i] !== arrB[i]) {
+    if (objectIs(arrA[i], arrB[i]) === false) {
       return false;
     }
   }
diff --git a/src/arrays.test.js b/src/arrays.test.js
index fdcf789..830151b 100644
--- a/src/arrays.test.js
+++ b/src/arrays.test.js
@@ -48,6 +48,18 @@ var tests = [
     arrA: [obj1, obj2, obj3],
     arrB: [obj1, obj2, obj3],
     result: true
+  },
+  {
+    should: 'return true if all corresponding elements pass Object.is',
+    arrA: [Number.NaN],
+    arrB: [0/0],
+    result: true
+  },
+  {
+    should: 'return false if all corresponding elements don\'t pass Object.is',
+    arrA: [-0],
+    arrB: [+0],
+    result: false
   }
 ];
 
diff --git a/src/objects.js b/src/objects.js
index 079c439..e3e6676 100644
--- a/src/objects.js
+++ b/src/objects.js
@@ -1,3 +1,5 @@
+import { objectIs } from './util';
+
 export default function shallowEqualObjects(objA, objB) {
   if (objA === objB) {
     return true;
@@ -18,7 +20,7 @@ export default function shallowEqualObjects(objA, objB) {
   for (var i = 0; i < len; i++) {
     var key = aKeys[i];
 
-    if (objA[key] !== objB[key] || !Object.prototype.hasOwnProperty.call(objB, key)) {
+    if (objectIs(objA[key], objB[key]) === false || !Object.prototype.hasOwnProperty.call(objB, key)) {
       return false;
     }
   }
diff --git a/src/objects.test.js b/src/objects.test.js
index 6f54a8e..33d2c5b 100644
--- a/src/objects.test.js
+++ b/src/objects.test.js
@@ -52,6 +52,18 @@ var tests = [
     objA: { first: undefined },
     objB: { second: 'green' },
     result: false
+  },
+  {
+    should: 'return true when all values pass Object.is',
+    objA: { first: Number.NaN },
+    objB: { first: 0/0 },
+    result: true
+  },
+  {
+    should: 'return false when all values don\'t pass Object.is',
+    objA: { first: 0 },
+    objB: { first: -0 },
+    result: false
   }
 ];
 
diff --git a/src/util.js b/src/util.js
new file mode 100644
index 0000000..40f8a02
--- /dev/null
+++ b/src/util.js
@@ -0,0 +1,12 @@
+export function objectIs(a, b) {
+  if (a === 0 && b === 0) {
+    return 1 / a === 1 / b;
+  }
+  if (a === b) {
+    return true;
+  }
+  if (a !== a && b !== b) {
+    return true;
+  }
+  return false;
+}