A Diego Costa hat-trick helped Chelsea to the win after they went 1-nil down through a John Terry own goal.
Brazil-born Spain international Costa now has seven goals to his name and is the first player to score in his first four Premier League games since Coventry City's Micky Quinn in 1992.
Unbeaten Aston Villa are second in the table after they beat Liverpool 1-0 at Anfield to maintain their recent hoodoo over the Mersysiders.
Arsenal and Manchester City drew 2-all in London.
Everton enjoyed their first win of the season beating West Bromwich Albion 2-nil.
Tottenham Hotspur drew 2-all at Sunderland, Southampton sent Newcastle United into the bottom three with a 4-nil victory while Leicester City secured their first victory since gaining promotion with a 1-nil win at Stoke.
But fellow promoted side Burnley failed to follow suit, missing a late penalty to draw 0-0 at Crystal Palace.
Manchester United host Queens Park Rangers tomorrow when Radamel Falcao, Luke Shaw, Marcos Rojo and Daley Blind are all in line to make their first appearances for Louis van Gaal's side.