I assume we are talking kitchen hot tap!
Have you a basin and taps in toilet if so does hot flow ok from that tap? If the answer is YES! then it sounds like the micro switch on the kitchen tap needs replacing. Can't advise how as never done one and taps vary. On most taps you can hear a low 'click' as you turn taps on so listen for the 'click' on the hot tap to compare turn on the cold tap first listen to that 'click' as the micro switch engages, turn it off then turn on the hot tap and listen for the same 'click'.
Each tap has it's own micro switch. Some times damp makes them malfunction so play a hair dryer on the hot tap, assuming the switch is under the tap head, it sometimes gets them going again.
Bob
April 2009