Liverpool continued to gather impressive momentum in the Premier League as they inflicted Antonio Conte's first loss as Chelsea manager with a deserved victory at Stamford Bridge to move into the top four.
Chelsea, who were booed off at half-time, failed to lay a glove on the rampant Reds until Diego Costa netted his fifth goal of the season with 29 minutes remaining, but Liverpool saw the game out comfortably.
Reds boss Jurgen Klopp was a winner at Stamford Bridge last season - and this was three points Liverpool fully merited to add to a triumph at Arsenal on the opening weekend of the season and a draw at Tottenham.
Liverpool were keen to build on the 4-1 thrashing of champions Leicester City at Anfield last weekend and they over-ran Chelsea to take control by half-time through Dejan Lovren's close range finish and captain Jordan Henderson's spectacular 25-yard strike.
Chelsea, with £32m defender David Luiz making his first appearance since returning to Chelsea from Paris St-Germain as replacement for the injured John Terry, pulled one back through Diego Costa but their laboured performance deserved nothing from this game.