City clinched the first division league title in 1936-1937 and 1967-1968, while they have won the competition in its current form twice - in 2011-2012 and 2013-2014.
Manchester United tried to get something from the match but their efforts were futile.
Postgame, Manchester City had a subtle dig at their red rivals by claiming "Our time".
Jose Mourinho has named the six teams that should be capable of challenging Manchester City for the Premier League title. "They don't understand anything", he said.
Goalkeeper Ederson Moraes was watching former club Benfica play Porto in the Portuguese league.
City beat Tottenham Hotspur 3-1 on Saturday and have won 28 of their 33 matches.
Now on 87, they need just nine more points to break Chelsea's Premier League record set during the 2004-05 campaign.
Guardiola, who becomes the first Spanish manager to win the Premier League, has now won a remarkable 24 trophies in his nine-year management career.
Apart from stand-out displays at Arsenal and City Pogba has struggled to justify his mega-price tag this season and was stunned when Mourinho chose 21-year-old Acadamy product Scott McTominay ahead of him in some games. "We're still super happy but there is so much to do before we unlock our full potential".
This season the 18-consecutive victories between August and December set a new Premier League record and the has spent a total of 240 days at the summit of the league since the start of the season.
Few - including Guardiola - expected it to happen on Sunday. You can win the Champions League in seven games; the league is 10 months.
"You win titles with consistency at every level, not just the performance level but the mental level and the day by day".
Rodriguez headed home the only goal of the game on 73 minutes after Chris Brunt's corner was headed back across goal.
United's loss to West Brom hands City the title, and after the match Mourinho gave his reaction to this development; one that has been a very long time.
He said: "They won the title because they were the best team, because they won a great amount of points".
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