The skipper's brace and a stunning long-range strike from David Luiz proved enough to see off the Cottagers and put the Blues in a prime position to secure a top-four finish
The hosts looked the better of the two sides early on, but David Luiz’s devastating long-range strike and John Terry’s easy header gave the Blues a two-goal lead at the break and the visitors never looked back, with the skipper adding a second header to kill the game off.
Former Chelsea winger Damien Duff missed out for Fulham with a groin strain picked up against Aston Villa, meaning a start for Mladen Petric, while John Arne Riise replaced Kieran Richardson.
Rafael Benitez made four changes from the FA Cup defeat to Manchester City, bringing Terry and Frank Lampard back in, with Victor Moses preferred to Oscar and Fernando Torres getting the nod ahead of Demba Ba.
The Blues boss was hoping for a brighter start from his side than in Sunday’s semi-final, but the hosts had the better of the opening exchanges, and nearly took an early lead when Sascha Riether swung in a superb cross from the right, but Bryan Ruiz scooped his effort way over the bar from just a few yards out.
Lampard, making his 600th Blues appearance, volleyed straight at Schwarzer before Branislav Ivanovic escaped with a booking for a strong two-footed lunge on Petric.
Giorgos Karagounis fired over and John Arne Riise shot straight at Petr Cech as the hosts looked the better side, but it was Chelsea who took the lead on half an hour thanks to a world-class goal from Luiz, who picked the ball up in midfield before unleashing an absolutely stunning 35-yard strike that swerved into the top corner.
Jol's men nearly restored parity when Urby Emanuelson’s rolled effort was turned behind by Cech before Dimitar Berbatov drilled wide from the edge of the box.
A swerving Lampard free kick was then forced behind by Schwarzer and the resulting corner was cleared, but it came to Juan Mata, who swung in a superb cross from the right and Terry rose unchallenged at the far post to head low into the net and double Chelsea’s lead.
After the break it was again Fulham who started the better of the two sides, enjoying more of the ball, but Chelsea pressed well and stifled any probes forward from the hosts, eventually creating a good chance of their own as Torres drove the ball across goal which Mata could not quite reach.
The pace had slowed right down, but a Karagounis corner almost gave Fulham hope as Philippe Senderos produced an unmarked header which was bound for the far corner with Cech helpless, only to see it deflect off team-mate Petric and over the bar.
Chelsea immediately punished the Cottagers as Schwarzer turned a low Moses effort around the post, and from the corner Terry bundled Torres' flicked header into the net from close range for his second of the night.
With the result beyond doubt, Chelsea relaxed and allowed Fulham plenty of the ball, but the Cottagers could not find their way through an organised defence and the Blues saw out the closing stages of the game to pick up three comfortable points.