Andre Villas-Boas' side did not need to produce a great display to see off David Moyes' team, with the former Bolton loanee impressing again
With Fernando Torres serving the second of his three-game ban after being sent off against Swansea, Didier Drogba started up-front for the Blues with Daniel Sturridge and Juan Mata on either side of him.
For the visitors, unchanged from their loss to Liverpool, Louis Saha and Jack Rodwell both made their centenary appearances for the Toffees, while Phil Jagielka at center back made his 150th.
Everton nearly shocked Chelsea early on as Louis Saha had a good chance following a smart pass from Leon Osman, but Cech eventually game up with the save.
As the first half reached its midway point, the Toffees were holding the home side well. Andre Villas-Boas' men were enjoying the majority of possession but could not summon a really threatening chance.
When it started to look as if Chelsea would be unable to muster a serious scoring chance, the Blues got the reward for their overwhelming possession on the half-hour mark. Mata lifted the ball over Tony Hibbert at right back, into the path of the rampaging Ashley Cole, who delivered towards the far post, where the in-form Sturridge ran in to meet it with a simple header.
The opener brought about a slight revival from the visitors who enjoyed slightly more of the ball, but neither side was able to trouble a goalkeeper until right at the end of the period.
Seamus Coleman brought down Cole on the left, and Frank Lampard swung in the resultant free kick deep into the penalty area. Terry took advantage of Tim Howard’s indecision to nod home, sealing a comfortable home lead at the break.
Cole and Sturridge combined for the opening goal
Just seconds after the resumption, Everton surged forward and Osman came agonisingly close with a shot that appeared to just glance off the outside edge of the post as it flew past Cech, while his effort 10 minutes later missed the target.
But despite the visitors having the better of the first 15 minutes of the half, Chelsea appeared to kill off the match when the impressive Mata burst down the left, having been supplied by a deep-lying Drogba. The Spaniard sliced through a pinpoint pass into the path of the onrushing Ramires, who made no mistake with his finish.
However, only moments after his strike, the Brazilian was forced to limp off with an apparent knee injury.
The third goal appeared to have taken the fight out of David Moyes’ men, with proceedings appearing to completely peter out, until young Apostolos Vellios was brought on for Louis Saha with 10 minutes to go.
Immediately, Royston Drenthe found the ball on the left flank and whipped it in, where the 19-year-old Vellios slid in and finished accurately with his first touch of the game, having been on the pitch for just 18 seconds.
It proved only a consolation, though, as the home side held on for a fourth consecutive home win in the league. Lampard might have grabbed a fourth but his rifled injury time shot from the edge of the area flew straight at Howard.