diff --git a/src/evaluators.js b/src/evaluators.js
index d7fd73b..b24f641 100644
--- a/src/evaluators.js
+++ b/src/evaluators.js
@@ -190,7 +190,7 @@ export function createSafeEvaluatorWhichTakesEndowments(safeEvaluatorFactory) {
  * A safe version of the native Function which relies on
  * the safety of evalEvaluator for confinement.
  */
-export function createFunctionEvaluator(unsafeRec, safeEval) {
+export function createFunctionEvaluator(unsafeRec, safeEval, realmGlobal) {
   const { unsafeFunction, unsafeGlobal } = unsafeRec;
 
   const safeFunction = function Function(...params) {
@@ -247,8 +247,24 @@ export function createFunctionEvaluator(unsafeRec, safeEval) {
     }
 
     const src = `(function(${functionParams}){\n${functionBody}\n})`;
-
-    return safeEval(src);
+    const isStrict = !!/^\s*['|"]use strict['|"]/.exec(functionBody);
+    const fn = safeEval(src);
+    if (isStrict) {
+      return fn;
+    }
+    // we fix the `this` binding in Function().
+    // note: In non-strict mode, if `this` is not object
+    // it will be wrapped by Object(). Like 1 becomes Object(1) which is Number(1)
+    // Should we simulate this? It seems like no one will rely on this.
+    const bindThis = `(function (globalThis, f) {
+  function f2() {
+    return Reflect.apply(f, this === undefined ? globalThis : this, arguments);
+  }
+  f2.toString = () => f.toString();
+  return f2;
+})`;
+    const fnWithThis = safeEval(bindThis)(realmGlobal, fn);
+    return fnWithThis;
   };
 
   // Ensure that Function from any compartment in a root realm can be used
diff --git a/src/realm.js b/src/realm.js
index 6f03266..182df44 100644
--- a/src/realm.js
+++ b/src/realm.js
@@ -65,7 +65,7 @@ function createRealmRec(unsafeRec, transforms, sloppyGlobals) {
   const safeEvalWhichTakesEndowments = createSafeEvaluatorWhichTakesEndowments(
     safeEvaluatorFactory
   );
-  const safeFunction = createFunctionEvaluator(unsafeRec, safeEval);
+  const safeFunction = createFunctionEvaluator(unsafeRec, safeEval, safeGlobal);
 
   setDefaultBindings(safeGlobal, safeEval, safeFunction);
 
diff --git a/test/realm/test-confinement.js b/test/realm/test-confinement.js
index 9ddf5a2..db0c038 100644
--- a/test/realm/test-confinement.js
+++ b/test/realm/test-confinement.js
@@ -1,22 +1,32 @@
 import test from 'tape';
 import Realm from '../../src/realm';
 
+test('non-strict mode this binding in Function constructor', t => {
+  t.plan(1);
+
+  const r = Realm.makeRootRealm();
+  t.equal(r.evaluate('(new Function("return this"))()'), r.global);
+});
+
 test('confinement evaluation strict mode', t => {
   t.plan(2);
 
   const r = Realm.makeRootRealm();
 
   t.equal(r.evaluate('(function() { return this })()'), undefined);
-  t.equal(r.evaluate('(new Function("return this"))()'), undefined);
+  t.equal(
+    r.evaluate(`(new Function('"use strict"; return this'))()`),
+    undefined
+  );
 });
 
 test('constructor this binding', t => {
   const r = Realm.makeRootRealm();
   const F = r.evaluate('(new Function("return this"))');
 
-  t.equal(F(), undefined);
+  t.equal(F(), r.global);
   t.equal(F.call(8), 8);
-  t.equal(F.call(undefined), undefined);
+  t.equal(F.call(undefined), r.global);
   t.equal(Reflect.apply(F, 8, []), 8);
 
   const x = { F };