Blue and white ticker tape rained down and fans poured on to the pitch at the final whistle as City, who only needed a draw to win the trophy, finished two points clear of Liverpool whose campaign ended with a 2-1 win over Newcastle United.
Samir Nasri calmed City nerves by drilling them ahead in 39th minute and captain Vincent Kompany's neat finish four minutes after halftime put the hosts in cruise control, rounding off a superb debut season for manager Manuel Pellegrini.
"It's an amazing feeling. My second title in three years. It was an amazing league the whole year," Frenchman Nasri told Sky Sports.
"There are no words to explain my feelings now."
For Chilean Pellegrini it was a first league title since he won the Clausura with River Plate in Argentina in 2003 and a maiden success in Europe.
"I'm just so happy for the manager as well because it's his first title in Europe, it's amazing," Nasri added.
The atmosphere at Anfield was muted as an own goal from Martin Skrtel put Newcastle ahead in the first half, but goals from Daniel Agger and Daniel Sturridge ensured they ended with victory against opponents who had Shola Ameobi and Paul Dummett sent off.
Chelsea had to settle for third spot after coming from a goal down to win 2-1 at Cardiff City, ending a trophyless first season back in England for manager Jose Mourinho.
Tottenham Hotspur comfortably beat Aston Villa 3-0 to finish sixth and clinch a place in next season's Europa League, meaning deposed champions Manchester United, who drew their final match of a terrible season 1-1 against Southampton, will not play in Europe next season for the first time in 24 years.
Norwich City's relegation was confirmed with a 2-0 home defeat by Arsenal and they will join Cardiff and Fulham in the Championship next season.