Arsenal, who enjoyed an eight-point lead over City as recently as mid-March, needed at least a point to stay mathematically in the hunt, but went down 1-0 this morning.
Reuters reports City, who host Chelsea on Sunday, have 85 points with three games to play, while Arsenal are on 81 with one game left.
It is City's seventh Premier League title since they were bought by Abu Dhabi's Sheikh Mansour bin Zayed Al Nahyan in 2008 and they are now just two wins away from completing a treble only previously achieve by Manchester United in 1999.