By Fox Sports Staff
Lampard was an early substitute for the injured Ramires and immediately sparked his side into life, first setting up Oscar for the opening goal and then scoring from the spot after Juan Mata had been upended in the penalty area by Leon Britton.
The win, combined with Arsenal's 1-1 draw with Manchester United later in the day, saw Rafael Benitez's men climb to third in the Premier League table and boost their hopes of sealing a Champions League spot for next season.
Here, we rate the players from the two sides.
Petr Cech - 6
Had a fairly relaxed outing, given Swansea's lack of attacking threat in the final third. Dealt well with the few crosses that came into his box and distributed the ball well.
Ashley Cole - 7
Had a few hairy moments against the slippery Pablo Hernandez but overall coped well with whatever came his way. Not as penetrating going forward as he normally is, but then Chelsea rarely needed to get out of second gear.
Gary Cahill - 7.5
Was solid in the air and shackled Michu quite well. Came close to scoring himself, but put his header from a Mata corner just over. Made up for John Terry's occasional lapse in concentration by providing good cover.
John Terry - 6.5
Didn't look entirely convincing whenever Swansea player ran at him with pace. Had his fellow defenders to thank for helping the side keep a clean sheet.
Cesar Azpilicueta - 7
Kept close tabs on Jonathan de Guzman and Wayne Routledge, not allowing either of the crafty duo to cause too much damage. Like Cole, didn't really put in too many overlapping runs as the Chelsea midfield controlled the game down the centre.
David Luiz - 7.5
Commanded the midfield superbly, winning possession in key areas and finding the right personnel at the right time. Was lax with his passing at times, going for style over substance - but then that's part of the package when it comes to the Brazilian.
Ramires - 5 (off 24')
Didn't really have time to influence the game before he was forced off due to injury.
Oscar - 8
Took his goal with aplomb - a powerful shot from the right that crashed into the far corner. It was a welcome turnaround of fortunes for the youngster, given that he had looked lacklustre in the opening proceedings. Was much brighter after the goal and combined well with Eden Hazard and Mata.
Eden Hazard - 8.5
Even though he didn't get on the scoresheet, Hazard shone throughout the match - his twinkling footwork waking the crowd from its Sunday afternoon slumber time and again. He looks completely at home in the Premier League and Chelsea fans can expect bigger, better things from him next season.
Juan Mata - 7
Not his usual irrepressible self on the day, even though he did win the penalty converted by Frank Lampard. Missed a couple of glorious opportunities to score and was not on the same wavelength with his teammates at times.
Demba Ba - 5.5
It wasn't a particularly memorable outing for the forward, who struggled with his touch and took far too much time on the ball. Still managed to get away a few decent shots on goal, but they were kept out by Michel Vorm.
Frank Lampard (on 24') - 9
Sparked a tepid game into life as soon as he came on - driving forward and coming up with penetrating balls to threaten the Swansea goal. Set up Oscar for the opening goal before scoring the second from the penalty spot. There are absolutely no signs than Lampard is on the wane, and this was yet another reminder to Roman Abramovich of the same.
Michel Vorm - 7.5
Would be disappointed he didn't do better with Lampard's penalty after guessing the right way, but overall was quite good - denying Ba on a couple of occasions and generally making sure the torpor his team were in didn't result in an outright thrashing.
Ben Davies (off 82') - 7
Had a decent outing given the quality of the opposition. Managed to get to the high up the pitch a few times and put in some useful crosses. Looked shaky in defence every time a Blue shirt charged down his flank.
Chico - 7
Kept Ba on a leash throughout the game, and came up with a couple of crucial last-ditch blocks to save his side's blushes.
Ashley Williams - 4
The Chelsea midfield trio ran rings around him and the centre-back looked quite clueless at times. Had to rely on Chico to bail him out.
Angel Rangel - 5
His minimal contribution up front would have disappointed Michael Laudrup, given how excellent he has been through the season. Coped decently with Mata though, and deserves a bit of credit for that.
Leon Britton (off 70') - 3
Gave away the penalty that led to Chelsea's second goal with a clumsy challenge on Mata. Looked uncertain every time the tiny Spaniard made his darting runs and ultimately contributed next to nothing in midfield.
Sung-Yong Ki - 6
Was the bulwark in midfield and made some hefty tackles to remind Chelsea they would not have it all their way. Was let down by some sloppy passes though.
Wayne Routledge (off 66') - 3.5
Barely had any influence on the game, and forced Laudrup to sub him in favour of Kieron Dyer.
Jonathan de Guzman - 6
Had moments of brilliance, with some cute passes serving as a reminder of his ability. But failed to carve out any real scoring opportunities, and gradually faded away from the game.
Pablo Hernandez - 7
Was involved in a duel with Cole most of the night and came out on top on a few occasions before running into Cahill or Terry. Failed to link up to any great effect with Michu.
Michu - 4
Big disappointment. Rarely had a sight of goal and on the rare occasions he did, failed to make anything out of them - most notably when he bizarrely failed to attack a great ball into the box when completely unmarked.
Nathan Dyer (on 66') - 6.5
Did look livelier than Routledge, embarking on a few adventurous runs down the centre before invariably coming a cropper amidst a sea of Blue shirts.
Itay Schecter (on 70') - 4
Didn't fare too much better than the man he replaced, but by then most of the Swans had stopped trying.
Neil Taylor (on 82') - n.a