Stephen Warnock’s first goal in over three years had given Albion the lead on 12 minutes after a frenetic start, only for Oliver Norwood to level things up with a 25-yard effort on 31 minutes.
The points were secured for Albion six minutes after half-time when Lucas Akins fired home from the penalty spot after Fulham skipper Kevin McDonald had been penalised for his challenge on Burton defender Kyle McFadzean.
“I thought it was a very good game of football,” Clough said. “They (Fulham) dominated possession but I thought we just about deserved it, for our effort and honesty again.
“You could tell what sort of game it was going to be in the first five minutes. It could easily have been 2-1 to Fulham after about three minutes. We wanted to be as attacking as possible but we had to do it responsibly and we did cause them problems when we got it forwards.
“It was a very rare penalty for us. We’ve had something like two in 100 games, so it was nice to get one today. We had actually forgotten who the penalty-taker was meant to be. Lucas grabbed it and it just about made it for us.”
For Fulham it was a disappointing result which dropped them back into mid-table after a morale-boosting first home victory of the season in midweek.
Boss Slavisa Jokanovic was frustrated and disappointed not to leave the Pirelli Stadium with at least a point for their efforts.
Jokanovic said: “We give them two chances for an advantage which they took and in a game on a smaller pitch it is not always easy to score goals.
“We tried, we moved the ball and we created the chances, but after we gave them the advantage it was hard and we could not score.
“The goals we conceded were cheap goals. We were not aggressive enough. The penalty is strange. If it is a penalty in one box then it is a penalty on Floyd Ayite in the other box after that, but I don’t want to complain about things like that.”
Defeat left the Cottagers 13th and already five points off the play-offs, which after last season is the minimum they are hoping for this term.
Jokanovic continued: “We want to be fighting for more things. We want to be better, but right now we are not improved so much. Our situation is now that we need to improve and show more to achieve our ambitions. We are not at enough of a good level in this moment. We need to push harder to improve.”