Playing with great pace and discipline, Jose Mourinho's team claimed a much-needed win that kept the Blues within four points of league leader Arsenal following two disappointing results.
Lampard opened the scoring from the penalty spot in the 21st minute after West Ham keeper Jussi Jaaskelainen brought down Oscar in the box.
The Brazilian midfielder then combined well with playmaker Eden Hazard and slotted home with a low shot from the edge of the box for a superb goal in the 34th.
Lampard sealed Chelsea's win, scoring from a rebound from inside the penalty area in the 82nd.
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