The Ivory Coast international now has a near faultless record against the Gunners with ten wins and three draws since he joined Chelsea in 2004.
He kicked things off at Stamford Bridge with a superb finish in the 39th minute after ex-Gunner Ashley Cole combined with Ramires before finding Drogba from the left flank and the star striker netted with a sneaky left-footed touch that gave Lukasz Fabianski no chance.
It was a typically free-flowing London derby which saw both sides have plenty of chances but the only other one converted was that of Brazilian defender Alex who smashed a 30-yard free-kick into the roof of the net to send his side four points clear at the top of the table in emphatic style even though Arsenal controlled much of the second half.
Venue: Stamford Bridge, West London
Referee: Mike Dean
Yellow cards: CHE - Paulo Ferreira 80â€™
ARS - Laurent Koscielny 84â€™
Petr Cech (gk), John Terry, Alex, Ashley Cole, Branislav Ivanovic (Ferreira 73â€™), John Obi Mikel (Sturridge 89â€™), Ramires (Zhirkov 83â€™), Michael Essien, Florent Malouda, Didier Drogba, Nicolas Anelka
Lukasz Fabianski (gk), Laurent Koscielny, Sebastien Squillaci, Gael Clichy, Bacary Sagna, Jack Wilshere (Emmanuel-Thomas 81â€™), Alex Song, Abou Diaby (Rosicky 70â€™), Andrei Arshavin (Vela 87â€™), Samir Nasri, Marouane Chamakh.
Subs - Wojciech Szczesny (gk), Tomas Rosicky (70â€™), Emmanuel Eboue, Johan Djourou, Denilson, Carlos Vela (87â€™), Jay Emmanuel-Thomas (81â€™)