Ashley Westwood and Chris Wood were on target as Burnley secured their Premier League status and condemned Fulham to relegation with a 2-0 win at Craven Cottage.
Fulham had to avoid defeat to keep their hopes of safety alive, but found themselves trailing 2-0 by half-time.
Westwood opened the scoring for Burnley on 35 minutes with a low finish from Matej Vydra's pull-back.
Wood doubled Burnley's lead a minute before the break, rifling an unstoppable shot into the top corner after Josh Brownhill had slotted the ball into his path on the edge of the area.
Scott Parker replaced defender Kenny Tete with striker Josh Maja at the start of the second half as Fulham tried to battle their way back.
Aleksandar Mitrovic twice went close with headers before Andre-Frank Zambo Anguissa crashed a shot against the underside of the bar after 70 minutes.
Burnley nearly added a third through substitute Jay Rodriguez, whose shot was saved by Alphonse Areola.
The win moves Burnley up to 14th on 39 points.
Fulham remain 18th with 27 points, 10 off safety with three matches remaining.
Fulham: 15 May v Southampton (A)
Burnley: 15 May v Leeds (H)
Referee: David Coote. Assistants: Harry Lennard, Nick Hopton. Fourth official: Robert Jones. VAR: Peter Bankes. Assistant VAR: Timothy Wood.