Sony's latest PlayStation 4 console comes bundled with the new DualShock 4 controller. Being the latest console's primary controller, DualShock 4 is similar to its predecessor in many ways, nonetheless, it is the most radical redesign of the PlayStation 4 controller since the introduction of DualShock. PlayStation 4 console doesn't support previous DualShock controllers, but you can now use DualShock 4 controller wirelessly on your PlayStation 3 console.

You can Now Use PlayStation 4's DualShock 4 Controller Wirelessly on PlayStation 3

Sony's PlayStation 3 console has supported the DualShock 4 controller ever since it was launched with the PlayStation 4 console, though it only works if the controller is connected through a USB wire. However, now it looks like one of recent PlayStation 3 updates from Sony allow users to connect the DualShock 4 controller to the PlayStation 3 wirelessly. It wasn't announced officially, but a Reddit user discovered the method, which is given below.

1. Connect DS4 with wire to PS3 then turn on.
2. Go to Accessory settings.
3. Select Manage Bluetooth Devices, and scan for device.
4. While scanning hold the PS & Share buttons on the DS4.
5. Select Wireless Controller. The DS4 light should now be white.
6. Unplug wire and test it out.

http://www.youtube.com/watch?feature=player_embedded&v=96gBAJv0DvI

Do note that PlayStation 3 won't fully support DualShock 4 if its connected wirelessly, and it will not be recognised as an official one, as a result features such as vibrate and Six Axis, as well as the PS button will not work.