While a point will edge both sides closer towards safety, with results below them maintaining a healthy gap over the relegation places, there was little creative spark.
New Norwich signing Luciano Becchio, in for injured captain Grant Holt who suffered a back spasm on the morning of the game, saw an early effort saved and then headed a couple of half-chances wide.
Even the return for Dimitar Berbatov from a hamstring injury could not inspire Fulham, with a 25-yard effort from midfielder Steve Sidwell at the start of the second half about the best of the visitors' few chances.
Norwich have now found the net just once in the past six league and FA Cup games, having been beaten 1-0 at home by Luton in round four.
However, after only conceding two in that run after shipping five at Liverpool on January 19, Hughton will try to remain upbeat about his team's chances of staying clear of being dragged into the battle for survival.
"Fulham have a lot of quality in their side but we are disappointed because we are at home and the emphasis was to look to get three points," said the City manager, who is set to take his squad off for some warm weather training in Abu Dhabi next week. "We did not have enough in the final third and lacked that bit of quality but it is a point and if you cannot win these games, you certainly have to make sure you do not lose them."
Hughton added: "It [lack of goals] is a concern, and it has to be, but we also have to look at the positives. We have managed to stop a poor run, albeit not with wins."
Hughton felt Becchio, a deadline day signing from Leeds, had worked hard for the team and added: "I cannot fault his endeavour but he is player who thrives on quality into the box and we lacked that."
Norwich sent on Sierra Leone forward Kei Kamara in the closing stages after international clearance on a loan move from the Major Soccer League had arrived earlier in the week. Hughton said: "The worst thing for us would have been if we played him earlier and he had picked up an injury and we are kicking ourselves because he is out for the next three or four weeks but I liked what I saw."