There was controversy over Chelsea's second goal, Leeds defenders claiming the ball struck dalla Bona's arm before he beat Nigel Martyn.
Right from the first whistle Chelsea hustled Leeds out of their stride.
While Mario Stanic was their chief inspiration, Emmanuel Petit was also showing signs of his best form.
The midfield duo combined in the build-up to the first goal as they teed up Gudjohnsen, who produced a brilliant first-time finish - curling the ball into the top corner.
Chelsea continued to exert pressure on the visitors' goal as dalla Bona, Stanic and Jimmy Floyd Hasselbaink all came close.
Left foot followed left arm as he bundled a shot past Martyn and Leeds protested furiously, with Wilcox being booked.
While Gudjohnsen was a couple of yards off-target from the halfway line and Lampard's volley also flashed past the far post, Leeds' only real chance of a fightback vanished with six minutes left.
Carlo Cudicini spilled a tame effort from Harry Kewell, but the Chelsea keeper recovered just in time to deflect Mark Viduka's follow-up effort wide although the linesmans flag was up on the far side and a free-kick was given to Chelsea.
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