The Blues move up to second and made it 19 points from a last possible 21 thanks to a goal in each half from Florent Malouda and a strike to savour from Salomon Kalou.
|kalou 1 gol|
This win, and the 3-3 draw in the derby over in north London, ensure that Chelsea move ahead of Arsenal on goal difference.
Chelsea (4-3-3): Cech, Ferreira, D. Luiz, Terry (c), Cole (Bertrand 56); Essien, Mikel, Lampard; Kalou (Torres 67), Drogba, Malouda (Anelka 67).
Unused subs Turnbull, Ivanovic, Zhirkov, Benayoun.
Scorers Malouda 2, 61, Kalou 25.
Birmingham (4-4-1-1): Foster; Carr (c), Johnson, Ridgewell, Parnaby (Davies 79); Larsson, Gardner, Ferguson, Fahey; Hleb (Bentley 70); Jerome (Derbyshire 70).
Unused subs Doyle, Bauasejour, Bowyer, Phillips.
Scorer Larsson 75 pen.
Booked Parnaby 49.
Referee Mike Jones
Shots on target Chelsea 7 Birmingham 3
Corners Chelsea 7 Birmingham 4
Fouls Chelsea 9 Birmingham 11
Offside Chelsea 0 Birmingham 1