To fix a dripping faucet, start by turning off the water supply to the faucet and then disassemble it to access the internal components. The most common cause of a dripping faucet is a worn-out or damaged cartridge, valve seat, or washer. Replace the faulty part with a new one, and reassemble the faucet. Ensure all components are properly tightened to prevent leaks. If you're unsure about handling the repair yourself, it's best to consult a professional plumber who can accurately diagnose and fix the issue.