The steps required for fixing a two handle leaky faucet are very similar to fixing a single handle leaky faucet.

With a two handle leaky faucet, however, the problem typically is associated with only one of the handles.  To isolate what faucet handle is the culprit, first turn the hot supply line valve off and observe if the leaky faucet stops leaking. If so, then you know your issue is with the hot water handle. If the faucet continues to leak after turning off the hot water supply line, turn off the cold supply line and see if the leaky faucet stops dripping. The leak should stop. Once you have determined which faucet handle/valve is leaking, make sure both supply line valves are OFF. Then turn both faucet handles to the ON position to make sure that the faucet no longer has water supplied to it. Next remove the cap cover associated with the leaking handle, from the top of the faucet handle.