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Is it leaking from the handle or out the spout? Most faucets are washer-type, and if these are leaking from the spout, you will have to replace the washer. If the seat is corroded, you will have to dress it or replace it. If it is leaking from the handle, you may need to replace the O-rings, tighten the packing nut or replace the packing. If a disk faucet is leaking, you will need to replace the O-ring. If it is leaking from the spout, you will need to replace the disk assembly. For ball-type faucet leaks, you may need to replace the cam assembly, the seat assembly and the ball.