1Shut off the water

Close the hot and cold valves under the sink, then open the faucet to release pressure. If a valve won't close fully, shut off the main water supply instead. Let any hot water cool before taking the faucet apart.
Stop a dripping faucet by replacing the cartridge or washer. Step-by-step for single-handle and two-handle faucets.

A drip almost always means a worn cartridge, washer or O-ring inside the handle. The trick is identifying your faucet type and bringing the old part to the store so the new one matches.
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Close the hot and cold valves under the sink, then open the faucet to release pressure. If a valve won't close fully, shut off the main water supply instead. Let any hot water cool before taking the faucet apart.

Pop off the decorative cap and remove the handle screw (Phillips or Allen), then lift the handle off.

Unscrew the retaining nut or clip and pull the cartridge straight up. Note which way it faced.

Grease the O-rings lightly, insert the new cartridge the same way, and refit the nut or clip.

Refit the handle, open the shutoff valves slowly, run hot and cold, and check for drips at the spout and leaks under the sink.
General guidance only. Turn off power, water or gas before you work and follow the manufacturer’s instructions; if unsure, call a qualified professional.