The decisive moment at the Vitality Stadium came in the 38th minute when Bournemouth's Eli Junior Kroupi put the hosts ahead, leaving City chasing the game.
Despite sustained pressure, Pep Guardiola's side could only find an equaliser deep into stoppage time through Erling Haaland, a goal that ultimately proved insufficient as victory was required to keep their hopes alive.
The draw leaves Manchester City four points behind Arsenal with just one fixture remaining, confirming that the Gunners cannot be caught at the top of the table.
Attention had already been swirling around City even before kick-off, after reports emerged that Guardiola is set to leave the club at the end of the season. That development was widely viewed as a potential disruption to the squad's focus during the run-in.
For Arsenal, the triumph marks their first Premier League title in 22 years, their last coming in the iconic 2003/04 “Invincibles” campaign under Arsene Wenger.
It is also their 14th English top-flight championship overall, spanning both the Premier League and pre-1992 eras.
Mikel Arteta's side have finally converted a series of near misses into silverware. They finished runners-up last season, 10 points behind champions Liverpool, and were narrowly denied two years ago when Manchester City amassed 91 points to edge them by just two points.
After multiple seasons of coming close, Arsenal's sustained consistency has now carried them over the line as champions.
Arsene Wenger told Arsenal players to "enjoy the moment while Ian Wright led emotional scenes outside the Emirates Stadium after Arsenal were crowned Premier League champions for the first time in 22 years on Tuesday night.
Bukayo Saka declared that Arsenal's critics are "not laughing anymore" as Gunners' players, legends and supporters erupted in celebration after ending the club's 22-year wait for a Premier League title.
With one match still to play, we look at some telling numbers behind Arsenal's fourth Premier League title.
Pep Guardiola congratulated Arsenal after Manchester City's 1-1 draw against Bournemouth on Tuesday night handed the Premier League title to Mikel Arteta's side.
