diff --git a/CHANGES.md b/CHANGES.md
index 8ff77416d2..65ad11b186 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -68,6 +68,7 @@ Features
 Bug Fixes
 ---------
 * [#515](https://github.com/java-native-access/jna/issues/515): Update linux-arm natives omitted in 4.2 [@twall](https://github.com/twall).
+* [#604](https://github.com/java-native-access/jna/issues/604): Kernel#GetLastError() always returns ERROR_SUCCESS [@lgoldstein](https://github.com/lgoldstein).
 
 Release 4.2
 ===========
diff --git a/contrib/platform/test/com/sun/jna/platform/win32/Kernel32Test.java b/contrib/platform/test/com/sun/jna/platform/win32/Kernel32Test.java
index 5db76e98b1..57cbb19090 100644
--- a/contrib/platform/test/com/sun/jna/platform/win32/Kernel32Test.java
+++ b/contrib/platform/test/com/sun/jna/platform/win32/Kernel32Test.java
@@ -61,6 +61,12 @@ public static void main(String[] args) {
         junit.textui.TestRunner.run(Kernel32Test.class);
     }
 
+    // see https://github.com/java-native-access/jna/issues/604
+    public void testGetLastErrorNativeLibraryOverride() {
+        assertFalse("Unexpected success", Kernel32.INSTANCE.CloseHandle(null));
+        assertEquals("Mismatched error code", WinError.ERROR_INVALID_HANDLE, Kernel32.INSTANCE.GetLastError());
+    }
+
     // see https://github.com/twall/jna/issues/482
     public void testNoDuplicateMethodsNames() {
         Collection<String> dupSet = AbstractWin32TestSupport.detectDuplicateMethods(Kernel32.class);
@@ -295,11 +301,10 @@ public void testGetCurrentThreadId() {
 
     public void testGetCurrentThread() {
         HANDLE h = Kernel32.INSTANCE.GetCurrentThread();
-        assertNotNull(h);
-        assertFalse(h.equals(0));
-        // CloseHandle does not need to be called for a thread handle
-        assertFalse(Kernel32.INSTANCE.CloseHandle(h));
-        assertEquals(WinError.ERROR_INVALID_HANDLE, Kernel32.INSTANCE.GetLastError());
+        assertNotNull("No current thread handle", h);
+        assertFalse("Null current thread handle", h.equals(0));
+        // Calling the CloseHandle function with this handle has no effect
+        assertTrue(Kernel32.INSTANCE.CloseHandle(h));
     }
 
     public void testOpenThread() {
@@ -316,11 +321,10 @@ public void testGetCurrentProcessId() {
 
     public void testGetCurrentProcess() {
         HANDLE h = Kernel32.INSTANCE.GetCurrentProcess();
-        assertNotNull(h);
-        assertFalse(h.equals(0));
-        // CloseHandle does not need to be called for a process handle
-        assertFalse(Kernel32.INSTANCE.CloseHandle(h));
-        assertEquals(WinError.ERROR_INVALID_HANDLE, Kernel32.INSTANCE.GetLastError());
+        assertNotNull("No current process handle", h);
+        assertFalse("Null current process handle", h.equals(0));
+        // Calling the CloseHandle function with a pseudo handle has no effect
+        assertTrue(Kernel32.INSTANCE.CloseHandle(h));
     }
 
     public void testOpenProcess() {
@@ -332,8 +336,9 @@ public void testOpenProcess() {
     }
 
     public void testQueryFullProcessImageName() {
-        HANDLE h = Kernel32.INSTANCE.OpenProcess(0, false, Kernel32.INSTANCE.GetCurrentProcessId());
-        assertNotNull("Failed (" + Kernel32.INSTANCE.GetLastError() + ") to get process handle", h);
+        int pid = Kernel32.INSTANCE.GetCurrentProcessId();
+        HANDLE h = Kernel32.INSTANCE.OpenProcess(0, false, pid);
+        assertNotNull("Failed (" + Kernel32.INSTANCE.GetLastError() + ") to get process ID=" + pid + " handle", h);
 
         try {
             char[] path = new char[WinDef.MAX_PATH];
diff --git a/src/com/sun/jna/NativeLibrary.java b/src/com/sun/jna/NativeLibrary.java
index ea753cb222..d2ee5a4e20 100644
--- a/src/com/sun/jna/NativeLibrary.java
+++ b/src/com/sun/jna/NativeLibrary.java
@@ -109,7 +109,12 @@ private NativeLibrary(String libraryName, String libraryPath, long handle, Map<S
             synchronized(functions) {
                 Function f = new Function(this, "GetLastError", Function.ALT_CONVENTION, encoding) {
                         @Override
-                        Object invoke(Object[] args, Class<?> returnType, boolean b) {
+                        Object invoke(Object[] args, Class<?> returnType, boolean b, int fixedArgs) {
+                            return Integer.valueOf(Native.getLastError());
+                        }
+
+                        @Override
+                        Object invoke(Method invokingMethod, Class<?>[] paramTypes, Class<?> returnType, Object[] inArgs, Map<String, ?> options) {
                             return Integer.valueOf(Native.getLastError());
                         }
                     };