The Cottagers took a very early lead when Clint Dempsey grabbed his 12th goal of the season when he bundled home after Bryan Ruiz's shot had been kept out by John Ruddy to help send the home side on their way.
Fulham had some solid chances after their second despite the Canaries enjoying much more possession and eventually that turned into a glimmer of hope for the visitors when substitute Aaron Wilbraham scored his first goal in England's top flight.
But Martin Jol's charges held out for a hard-fought victory to inflict a fourth defeat on Norwich in their past six outings.
TRIBAL ASKS: Despite a lapse in recent times, can Norwich's first season back in the top flight still be classified as a success? On the other hand, are Fulham capable of pushing into the top 10?
Craven Cottage, London - 25,700