Pre-match both sets of players paid tribute to the 96 Liverpool supporters that lost their lives during the Hillsborough disaster in 1989.
It would be fair to say that Liverpool dominated large parts of the match, but United ultimately won the points.
Here, Sports Mole has analysed the 90 minutes of action on Merseyside.
On Target: 8
On Target: 4
Was the result fair?
In terms of chances created and possession, no, it wasn't a fair outcome. However, football is all about taking your chances and Liverpool are not doing so at the moment. Visiting United made the most of their opportunities and as a result they leave Anfield with the three points.
As mentioned above they lacked a real cutting edge. Luis Suarez played well, but you never got the impression that he was going to find the net. The Reds dominated for large parts of the encounter, even with ten men, but they failed to turn that into goals.
Man United's performance
United have played better at Anfield and lost, that's for sure. Still, the three points are all that matters and that is what United claimed. At the end of the season it could be lacked back upon as a crucial result.
Mark Halsey was at the centre of two major decisions today - both of which went against Liverpool. On reflection the sending off of Shelvey looks slightly harsh. He caught Jonny Evans but it looked an honest challenge from both players. A yellow card would probably have been fair. As for the United penalty, Glen Johnson had clipped Antonio Valencia and Halsey had little choice. Suarez also had a penalty shout, but his theatrics cost him dearly.
Sports Mole's man of the match
A few contenders but we're going to plump for Joe Allen. In previous games he has shone with his passing ability. However, following the sending off of Shelvey, Allen and Gerrard were forced to do the work of three men in the Liverpool midfield. He was still calm when on the ball and rarely wasted possession.
This may be a little harsh, but it looks as though Pepe Reina should have saved Van Persie's penalty. The Spanish keeper got both hands to the ball, but failed to keep out an effort that was hardly powerful. Reina looked disappointed with himself afterwards and you can see why.
Liverpool: The Reds are now desperate to record their first win of the season. After West Bromwich Albion away in the League Cup, they travel to Norwich City next Saturday afternoon.
Man United: Another tough game for the Red Devils up next in the form of Tottenham Hotspur at Old Trafford. Having said that, Spurs have an awful record against United in recent seasons.