Daniel Sturridge's third goal in as many matches gave Liverpool a 1-0 win over bitter rivals Manchester United in a feisty Premier League match at Anfield.

On a day when Liverpool celebrated 100 years since the birth of legendary former manager Bill Shankly, Sturridge lifted the crowd further when he flicked in Daniel Agger's header from close range in the fourth minute.

Champions United, without striker Wayne Rooney after a training-ground incident left him with a bad cut on his forehead, rarely threatened to equalise despite dominating possession in the second half.

The defeat consigned United manager David Moyes to another loss at Anfield, having failed to win in 12 attempts at Liverpool's home when he was in charge at Everton.

The result left Liverpool as the only team to win all three of their opening games, a feat that can be matched by Tottenham Hotspur when they travel to Arsenal for the north London derby later today.

In the other early kickoff, Swansea City picked up their first points of the season with victory over West Bromwich Albion, who lie bottom of the table with a single point and no goals scored.

Ben Davies opened the scoring in the 22nd minute with a classy side-foot volley after being set up by Pablo Hernandez who sealed all three points in the 83rd minute, capitalising on good work from compatriot Michu.

The result will come as a relief to Michael Laudrup's side after defeats by United and Spurs, while even the return of striker Nicolas Anelka from compassionate leave could not paper over the problems facing West Brom.