Yes, but not the regular store-bought batteries, the PlayStation Move controller and the Navigation Controller are powered by a built-in rechargeable Lithium-ion battery. They require batteries because they are wireless.
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The Playstation 3 controller uses a rechargeable battery pack that is built into the controller and charged by connecting to the console itself with a Usb 2.0 cable.
If your ps3 controller isn't working wirelessly, then you may have to reregister it. To do this, you have to plug it into the ps3 with the special cord. If it still doesn't work, even if it is left plugged in, then you may have something wrong with your controller and you may have to purchase a new controller. You should also check the charge on the PS3 wireless controller. if you unplug a PS3 that battery is not charged it will not work. When you turn off the PS3 if you have not set the PS3 to also turn off the controller automatically in controller setting the controller will remain on and the battery will drain. The PS3 does not charge controllers when it is off.
couple hours
Not a Dual Shock 3 PS3 controller
Get the PS3 controller and connect it to the other PS3 using the USB recharger. Turn the controller on and after about 10 seconds you can take it out, turn on the controller, and use it wirelessly. All of this is done while the PS3 is turned on.
PS2 do not play PS3 games and if your PS2 controller is being used on a PS3 then you are not using normal PS3 equipment. Sony support and my sources do not have information on using some unknown controller that might be able to work on a PS3 read your manual that came with the controller. Better yet buy the better Dual Shock 3 PS3 controller