Antonio Conte suffered his first defeat as Chelsea manager as Liverpool moved alongside their hosts in the top four of the Premier League.
Chelsea improved after half-time as Diego Costa tucked in Nemanja Matic’s cutback, but Liverpool held on to join the Blues and Everton on 10 points.
The Blues suffered a lapse of concentration to allow Dejan Lovren, returning after an eye injury, to open the scoring with a far post finish before Jordan Henderson unleashed a contender for Goal of the Season with a 30-yard screamer into the top corner.
Diego Costa pulled a goal back for the hosts after the interval, but Chelsea could not find an equaliser to leave Liverpool unbeaten after three games in London this term.
Jurgen Klopp’s side have already also beaten Arsenal and Premier League champions Leicester, plus taken a point at Tottenham, with their only defeat coming at newly-promoted Burnley.
Fine move from Liverpool in the 81st minute, slick inter-passing and penetrating movement, frees Milner up the left and he stands up a cross to the near post. Ivanovic wins it but can only folick it on to the back post where Origi meets it at the apex of his leap and heads it down.
Liverpool deservedly won after a dominant first-half performance against a lacklustre and oddly muddled Chelsea.