diff --git a/jquery/jquery-tests.ts b/jquery/jquery-tests.ts
index 37e03aa88..973818f5a 100644
--- a/jquery/jquery-tests.ts
+++ b/jquery/jquery-tests.ts
@@ -3164,8 +3164,11 @@ $.ajax({
 
 function test_deferred() {
 
-    function returnPromise(): JQueryPromise<(data: { MyString: string; MyNumber: number; }, textStatus: string, jqXHR: JQueryXHR) => any> {
-        return $.ajax("test.php");
+    function returnPromise(): JQueryPromise<{ MyString: string; MyNumber: number; }> {
+        return $.Deferred<{ MyString: string; MyNumber: number; }>().resolve({
+            MyString: "MyString",
+            MyNumber: 5
+        }, "failed", null);
     }
     var x = returnPromise();
     x.done((data, textStatus, jqXHR) => {
@@ -3190,7 +3193,7 @@ function test_deferred() {
     function fn3(n) {
         $("p").append(n + " 3 " + n);
     }
-    var dfd = $.Deferred();
+    var dfd = $.Deferred<string>();
     dfd
         .done([fn1, fn2], fn3, [fn2, fn1])
         .done(function (n) {
diff --git a/jquery/jquery.d.ts b/jquery/jquery.d.ts
index fb0429488..3745e5d32 100644
--- a/jquery/jquery.d.ts
+++ b/jquery/jquery.d.ts
@@ -287,6 +287,13 @@ interface JQueryGenericPromise<T> {
     then<U>(doneFilter: (value: T) => JQueryGenericPromise<U>, failFilter?: (reason: any) => JQueryGenericPromise<U>): JQueryGenericPromise<U>;
 }
 
+/**
+ * Interface for the JQuery promise/deferred callbacks
+ */
+interface JQueryPromiseCallback<T> {
+    (value?: T, ...args: any[]): void;
+}
+
 /**
  * Interface for the JQuery promise, part of callbacks
  */
@@ -297,27 +304,27 @@ interface JQueryPromise<T> {
      * @param alwaysCallbacks1 A function, or array of functions, that is called when the Deferred is resolved or rejected.
      * @param alwaysCallbacks2 Optional additional functions, or arrays of functions, that are called when the Deferred is resolved or rejected.
      */
-    always(alwaysCallbacks1?: T, ...alwaysCallbacks2: T[]): JQueryDeferred<T>;
+    always(alwaysCallbacks1?: JQueryPromiseCallback<T>, ...alwaysCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
     /**
      * Add handlers to be called when the Deferred object is resolved.
      * 
      * @param doneCallbacks1 A function, or array of functions, that are called when the Deferred is resolved.
      * @param doneCallbacks2 Optional additional functions, or arrays of functions, that are called when the Deferred is resolved.
      */
-    done(doneCallbacks1?: T, ...doneCallbacks2: T[]): JQueryDeferred<T>;
+    done(doneCallbacks1?: JQueryPromiseCallback<T>, ...doneCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
     /**
      * Add handlers to be called when the Deferred object is rejected.
      * 
      * @param failCallbacks1 A function, or array of functions, that are called when the Deferred is rejected.
      * @param failCallbacks2 Optional additional functions, or arrays of functions, that are called when the Deferred is rejected.
      */
-    fail(failCallbacks1?: T, ...failCallbacks2: T[]): JQueryDeferred<T>;
+    fail(failCallbacks1?: JQueryPromiseCallback<T>, ...failCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
     /**
      * Add handlers to be called when the Deferred object generates progress notifications.
      * 
      * @param progressCallbacks A function, or array of functions, to be called when the Deferred generates progress notifications.
      */
-    progress(...progressCallbacks: T[]): JQueryDeferred<T>;
+    progress(...progressCallbacks: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
 
     /**
      * Add handlers to be called when the Deferred object is either resolved or rejected.
@@ -425,27 +432,36 @@ interface JQueryDeferred<T> extends JQueryPromise<T> {
      * @param alwaysCallbacks1 A function, or array of functions, that is called when the Deferred is resolved or rejected.
      * @param alwaysCallbacks2 Optional additional functions, or arrays of functions, that are called when the Deferred is resolved or rejected.
      */
-    always(alwaysCallbacks1?: T, ...alwaysCallbacks2: T[]): JQueryDeferred<T>;
+    always(alwaysCallbacks1?: JQueryPromiseCallback<T>, ...alwaysCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
+    always(alwaysCallbacks1?: JQueryPromiseCallback<T>[], ...alwaysCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
+    always(alwaysCallbacks1?: JQueryPromiseCallback<T>, ...alwaysCallbacks2: any[]): JQueryDeferred<T>;
+    always(alwaysCallbacks1?: JQueryPromiseCallback<T>[], ...alwaysCallbacks2: any[]): JQueryDeferred<T>;
     /**
      * Add handlers to be called when the Deferred object is resolved.
      * 
      * @param doneCallbacks1 A function, or array of functions, that are called when the Deferred is resolved.
      * @param doneCallbacks2 Optional additional functions, or arrays of functions, that are called when the Deferred is resolved.
      */
-    done(doneCallbacks1?: T, ...doneCallbacks2: T[]): JQueryDeferred<T>;
+    done(doneCallbacks1?: JQueryPromiseCallback<T>, ...doneCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
+    done(doneCallbacks1?: JQueryPromiseCallback<T>[], ...doneCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
+    done(doneCallbacks1?: JQueryPromiseCallback<T>, ...doneCallbacks2: any[]): JQueryDeferred<T>;
+    done(doneCallbacks1?: JQueryPromiseCallback<T>[], ...doneCallbacks2: any[]): JQueryDeferred<T>;
     /**
      * Add handlers to be called when the Deferred object is rejected.
      * 
      * @param failCallbacks1 A function, or array of functions, that are called when the Deferred is rejected.
      * @param failCallbacks2 Optional additional functions, or arrays of functions, that are called when the Deferred is rejected.
      */
-    fail(failCallbacks1?: T, ...failCallbacks2: T[]): JQueryDeferred<T>;
+    fail(failCallbacks1?: JQueryPromiseCallback<T>, ...failCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
+    fail(failCallbacks1?: JQueryPromiseCallback<T>[], ...failCallbacks2: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
+    fail(failCallbacks1?: JQueryPromiseCallback<T>, ...failCallbacks2: any[]): JQueryDeferred<T>;
+    fail(failCallbacks1?: JQueryPromiseCallback<T>[], ...failCallbacks2: any[]): JQueryDeferred<T>;
     /**
      * Add handlers to be called when the Deferred object generates progress notifications.
      * 
      * @param progressCallbacks A function, or array of functions, to be called when the Deferred generates progress notifications.
      */
-    progress(...progressCallbacks: T[]): JQueryDeferred<T>;
+    progress(...progressCallbacks: JQueryPromiseCallback<T>[]): JQueryDeferred<T>;
 
     /**
      * Call the progressCallbacks on a Deferred object with the given args.