It was Arsenal's third straight Premier League victory and a much-needed morale booster after its loss in the Europa League semifinals.
Stadiums have been closed to spectators in Portugal but pandemic restrictions are being eased to allow them to be at 10% capacity for the final round of league games next Wednesday.
Manchester City vs Chelsea: UEFA meeting with British government on Champions League final at Wembley
UEFA was meeting virtually with the British government to discuss the logistics of using Wembley for the Champions League final.
It is a fourth league title for Chelsea, which now has one more than Arsenal since the first WSL season in 2011.
The British government is advising supporters not to travel to Turkey because of the new restrictions.
Happy to score goal against Manchester City, it has been tough season: Chelsea wingback Marcos Alonso
Marcos Alonso scored the game sealing goal against Manchester City as the Blues registered a 2-1 victory at the Etihad Stadium.
Chelsea looked like it had given away another penalty with two minutes left of regular time when Sterling appeared to be clipped by Kurt Zouma and they fell in a tangle.
Chelsea and Manchester City will now face each other in the summit clash of the Champions League on May 29 at Ataturk Olympic Stadium in Istanbul.
Chelsea set up a final showdown against Manchester City in the finals of the Champions League after defeating Real Madrid in the second-leg semi-final.
In the second-leg semi-final, Chelsea defeated Real Madrid 2-0 and as a result, they won the fixture 3-1 on aggregate.
Chelsea's £220 million spending spree last summer has been rewarded with a first Champions League final since they lifted the trophy for the only time in 2012.
Chelsea, which won the 2012 Champions League, heads into the semifinal second leg at Stamford Bridge with the away-goal advantage after drawing 1-1 in Madrid last week.
Chelsea were one of the 12 clubs to sign up to the ESL project, which would have put an even greater strain on players, with a minimum of 18 regular-season games for all the clubs involved.
Hazard counts it as a blessing to make it through a single match without another muscle creaking let alone an entire season worthy of international acclaim.
Timo Werner scored the lone goal of the match as Chelsea registered a victory to move to the fourth spot in the Premier League standings.