http://www.denialville.com/faucet-help/
How do you fix a Bathroom Faucet from dripping?
The brand is Glacier Bay, the faucet is advertised as dripless, yet the hot water drips. I do not see where you can replace the washer or if I even have access to it without replqacing the whole faucet, Anyone ever have this problem?
This is a 2-handle Bathroom Faucet, there are no screws on any part of the handles.
Turn off the water via a stopcock/handle under the sink. The faucet handle itself likely has a little plastic cap to it that says "Hot" or "H". You can pop this off easily with a fine-bladed flat screwdriver, butter knife or whatever. Take off the cover, and under it will be a screw that holds the handle on. Undo the screw to disassemble the faucet. Part of that assembly under the faucet handle should include a washer (nylon or rubber). Take the old washer or the whole faucet/stem assembly to your local hardware store and buy a new washer to match. Reassemble with new washer, replace the cap, and turn the water shutoff valve back on. It should now work fine.