Marcos Alonso scored the opening goal in the first half to give Chelsea the lead. Eden Hazard doubled the lead with an eye-catching solo run goal.
Cesc Fabregas scored the third and final goal to hammer the last nail in Arsenal's coffin. The Gunners pulled one back in the dying moments of the match thanks to Olivier Giroud.
In other important matches, Hull City shocked everyone to beat giants Liverpool 2-0. The shock defeat comes as a huge jolt for the title aspirants Liverpool.
The other title contenders registered comfortable wins. Tottenham Hotspur defeated Middlesbrough 1-0, Manchester City defeated Swansea City 2-1 and Manchester United routed defending champions Leicester City 3-0.
Here are all the photos from game week 24:
Chelsea 3-1 Arsenal
Chelsea thrashed rivals Arsenal 3-1 at home to extend the lead at the top of the table. Marcos Alonso, Eden Hazard and Cesc Fabregas scored for the Blues while Olivier Giroud scored a consolation goal for the Gunners.
Cesc Fabregas congratulated by teammates
Chelsea's Cesc Fabregas scored the winning goal for his team but did not celebrate as a mark of respect for his former team Arsenal.
Hull City 2-0 Liverpool
Relegation-threatened Hull City pulled of the biggest shocker of the week as they defeated Liverpool 2-0 to move up to the 18th position from last.
Manchester City 2-1 Swansea City
Manchester City rode on Gabriel Jesus' brace to beat Swansea City 2-1 and move up to the third position in the league table.
Henrikh Mkhitaryan, Juan Mata and Zlatan Ibrahimovic were on target to held Manchester United register a crucial win against Leicester City.
All images are taken from Chelsea, Hull City, Manchester United and Manchester City's Twitter official handles.