That defeat came in between two losses to Liverpool in the Champions League, which led to Guardiola claiming the side could still miss out on the title.
However, their 3-1 victory at Tottenham on Saturday put them on the brink of the title, and West Brom striker Jay Rodriguez’s header confirmed their status as champions on Sunday.
Guardiola said on Saturday that he would play golf, rather than watch the United game.
City’s next match is at home to Swansea on 22 April.
Key facts about City’s title win
Man City top the charts in a number of key Premier League stats this season:
Premier League stats 2017-18
Manchester City (1st)
Manchester United (26)
Arsenal/Manchester United (13)
Shots on target
Big chances scored
City have equalled Arsenal’s tally of three Premier League titles – only Manchester United (13) and Chelsea (five) have won more.
City have won the title with five games remaining, equalling the English top-flight record. Manchester United in 1907-08 and 2000-01, and Everton in 1984-85 all won the title with five games to spare.
It is the second earliest, in terms of date, that the title has been sealed, just behind Manchester United’s win on 14 April 2001.
City’s 28 wins matches their record tally of victories in a top-flight league season – set in 2011-12, when they sealed their 28th victory on the final day.
They have scored 93 goals this season – they need seven goals in their final five league games to become the fourth team to score 100 or more goals in a Premier League campaign.
City have been at the top of the league for 240 days in 2017-18 – one day fewer than Manchester United have spent at the top of the table since Sergio Aguero’s goal won the title in May 2012.
Guardiola is the first Spaniard to win the English top-flight title, and he has won the top-flight league title in seven of his nine seasons as a manager.
‘A new standard for Premier League performances’ – reaction
Manchester City captain Vincent Kompany, speaking to Sky Sports: “I had a feeling when I woke up this morning. I don’t like to wait and see a team lose so it was different experience today.
“You can’t take [winning the league] for granted, I’ve won three now but there’s so many we’ve missed. My team-mates will roll their eyes as I want to see the reaction from us next season as I’ve never been able to retain a title.
“My favourite title is the first one. That was special.”
On Guardiola’s influence, he added:“I have learnt from him. When I was 20 I would have been a perfect player for him. Everyone that plays under him will have had success because of him, because he has the ability to unlock the full potential.”
Chris Sutton, ex-Chelsea striker on BBC Radio 5 live: “Manchester City have deserved it. Their brand of football this season has been scintillating.
“They’ve scored more goals and they have a brilliant manager. Their football on the eye has been superb and they’ve been streets ahead of everyone else.
“Old Trafford was a Theatre of Nightmares this afternoon. You’d think they’d back the derby win up with a strong performance. But they’ve handed the title to City on a platter.”
Leon Osman, ex-Everton midfielder on BBC Radio 5 live: “They definitely deserved the title. They’ve been fantastic this season, right from the start. Their performances out of the blocks in the first 10 games were incredible and they really set the tone for the season.
“[Winning at] Chelsea – a massive result away at the champions – early in the season really did put a marker down for everyone else to say we’re the team to beat. They looked at one point like they were going to go unbeaten.
“I do think they’ve set a new standard for Premier League performances and what you expect from title winners moving forward.”
Shaun Goater, ex-Man City striker speaking to BBC Sport: “For me, it’s by far the best City team I’ve seen. The way and the style they’ve gone about it is truly total football.
“City have done it in amazing style. That’s what’s been so beautiful – the way City have won this league.”
‘They paint beautiful football’ – how City have been described this season
Match of the Day commentator Jonathan Pearce described Manchester City as an “irresistible force” and one of “the best the Premier League has ever seen”.
Midfielder Kevin de Bruyne heaped praise on his own team, saying: “The way we play is probably one of the best in the world.”
Former Arsenal defender Martin Keown described City’s players as “artists” who “paint beautiful football for us each and every week”.
Chelsea manager Antonio Conte said he admired how they “found the right way to be strong for a long time”.
‘A style that is joyous to watch’ – social media reacts
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