Robin van Persie's late penalty secured Manchester United's first Anfield win since December 2007 against 10-man Liverpool on an emotional afternoon on Merseyside.
The hosts played 51 minutes with 10 men after Jonjo Shelvey's sending-off but still managed to take the lead through Steven Gerrard's volley seconds after the interval.
Spot on: Van Persie converts a late penalty to give United the victory over their fierce rivals
Dutch of class: The £24million summer signing wheels away in celebration after his late spot-kick
Match facts
Liverpool: Reina, Kelly, Skrtel, Agger (Carragher 80), Johnson, Gerrard, Allen, Shelvey, Borini (Fernandez Saez.46), Suarez, Sterling (Henderson 66).
Subs not used: Jones, Jose Enrique, Sahin, Assaidi
Sent off: Shelvey
Man Utd: Lindegaard, Da Silva, Ferdinand, Evans, Evra, Carrick, Giggs, Valencia, Kagawa (Hernandez 81), Nani (Scholes 46), van Persie.
Subs not used: De Gea, Anderson, Welbeck, Cleverley, Buttner.
Subs not used: Jones, Jose Enrique, Sahin, Assaidi
Goal: Gerrard 46
Booked: ReinaSent off: Shelvey
Man Utd: Lindegaard, Da Silva, Ferdinand, Evans, Evra, Carrick, Giggs, Valencia, Kagawa (Hernandez 81), Nani (Scholes 46), van Persie.
Subs not used: De Gea, Anderson, Welbeck, Cleverley, Buttner.
Goals: Rafael 51, Van Persie 81 (pen)
Booked: Scholes, Van Persie
Referee: Mark Halsey (Lancashire)In the end it was something of a relief the talking points were all generated on the pitch as Liverpool marked their first home match since the publication of the Hillsborough Independent Panel's report which exonerated fans in relation to the 1989 disaster.
Luis Suarez and Patrice Evra shook hands in a show of unity before the game - the Liverpool forward had refused to shake the United defender's hand in the league meeting between the sides at Old Trafford in February, having previously been found guilty of racially abusing Evra in the corresponding fixture at Anfield last season.
Thankfully there were none of the distasteful chants which have marred this fixture for years, although that did not mean there was not an edge to the game.
Evra was overlooked for the captaincy - some say diplomatically - in the absence of Nemanja Vidic so it was Ryan Giggs who released 96 red balloons with Gerrard prior to kick-off.
Seeing red: Liverpool's Jonjo Shelvey was sent off for his foul on Jonny Evans
Red mist: Jonny Evans is flattened as Shelvey protests his innocence to ref Mark Halsey
It was harsh on Brendan Rodgers' side, who continued to take the game to their rivals despite being short on numbers as they desperately looked for their first league victory of the campaign.
Squaring up: Shelvey gives Rio Ferdinand his thoughts as the players surround Halsey
You said what? Sir Alex Ferguson exchanges words with Jonjo Shelvey
For the first minute of the match three sides of Anfield held up The Truth, Justice and 96 mosaics as representatives of the Hillsborough victims' families watched on from the directors' box.
Opener: Steven Gerrard fired home after being left unmarked in the box
What he saw in the first half would have been very familiar as for most of last season his sides dominated at home without scoring. Once Giggs had flashed an early shot wide the momentum was all with the hosts as a Suarez cross-shot was stopped by Anders Lindegaard and headed away by Jonny Evans under pressure from Fabio Borini.
Kop that: Gerrard kissed the badge as he wheeled away to celebrate his goal
That's for you: Gerrard pointed to the heavens on the day they remembered the Hillsborough victims
The 20-year-old midfielder, who scored twice in Thursday's Europa League victory at Young Boys, departed down the tunnel having exchanged heated words with Sir Alex Ferguson.
Jumping for joy: Liverpool fans savour Gerrard's goal after the first-half interval
The visitors would have been pleased to reach the interval with their goal intact but it took just 50 seconds after the restart for that to change.
Stunning: Manchester United's Rafael guides the ball past Liverpool keeper Pepe Reina
Leveller: Rafael celebrates his goal with team-mate Robin van Persie
Good lad: Rafael shows his pleasure at equalising for the visitors
A tackle from Paul Scholes, on for Nani at half-time, succeeded only in diverting the ball towards Gerrard who volleyed home left-footed in front of the Kop. The Reds captain, whose 10-year-old cousin Jon-Paul Gilhooley was the youngest victim of the Hillsborough disaster, whirled away pointing both arms to the sky in celebration and remembrance.
Flying away: Van Persie celebrates as Gerrard looks dejected at the final whistle
But as the match entered the final 20 minutes United began to take more control, although their winner came from their opponents giving away possession on the halfway line.
Daniel Agger and Johnson collided to allow Antonio Valencia to race 50 yards into the area and although Johnson got back he could only bring down the Ecuador international. Van Persie drilled home - although Reina went the right way and almost made the stop