Sean Dyche's side will now play in the top flight for a sixth successive season thanks to goals from Ashley Westwood and Chris Wood
Westwood broke the deadlock in the 35th minute when finishing Matej Vydra's pass from the penalty spot.
Wood then netted his eighth goal in as many games with a thunderbolt, turning on Josh Brownhill's pass and picking out the top corner.
9. Ashley Westwood 7.8
Brilliant from start to finish and, despite putting in a typically workmanlike shift, still looked to have plenty in the tank after 90 minutes. Excellent defensively and on hand to turn home Vydra's pass to open the scoring at Craven Cottage.
10. Chris Wood 8
Eight in eight for the New Zealander, who is in scintillating goal-scoring form for the Clarets. Took his goal tremendously well, picking out the top corner from Brownhill's pass. It was a finish that was illustrative of his confidence at present. Battled well in the final third.
11. Matej Vydra 8.1
Continuously turned water into wine for the Clarets. Ran hard and either won possession high up the pitch or forced Fulham's defence to concede a throw-in. Did impeccably well to keep Lowton's pass alive to tee up Westwood. Deserved a goal for his efforts.
12. Jay Rodriguez 6.3
Did everything that was asked of him when introduced after the hour. Ran the line well, giving the Fulham defence minimal time on the ball, and almost found the net when Areola beat away his attempt from inside the area.