The Cottagers won away for the first time this season after goals from Andy Johnson, Simon Davies and substitute Diomansy Kamara secured a crucial three points at the Reebok Stadium.
The Londoners bossed the match with captain Danny Murphy and defender Brende Hangeland impressing and the Fulham boss claims it was just a matter of time before his Cottagers tasted victory on their travels.
"Sometimes we have played quite well away from home and the luck hasn't been on our side, but it is important to keep going," Hodgson said.
Belief"I've known all along we've got a win in us away from home and I thought today the enormous number of chances we created needed some very fine work from Jussi Jaaskelainen to keep us at bay.
"In the end we got the goals and that's what counts and 37 points sounds an awful lot better than 35."
Fulham stay ninth following Wigan's win at Sunderland, but Hodgson was more concerned with getting to 40 points than chasing a European spot.
But the Cottagers tactician had praise for his side's response from going into half-time 1-1, courtesy of Kevin Davies' 10th goal of the season.
"We actually conceded a goal once again in that one minute added on for injuries or whatever, it was a real slap in the face for us," Hodgson added.
Response"But I thought the players did ever so well to come back from that because that type of slap in the face, especially coming after the week we had, it could have put us off our game and gone out and played much worse in the second half.
"Luckily they got over that in the half-time interval and went out and played the same way in the second-half as we did in the first and got the two goals I thought we deserved."