The English Premier League matches were concluded simultaneously on Sunday.
It was a fight to finish as many clubs battled for the remaining three Champions League slots.
Before the match, Liverpool and Arsenal already took the first two slots.
The remaining three had to be decided on the last day.
The six Premier League teams that will play in the Champions League next season have now been confirmed.
Chelsea beat Nottingham Forest 1-0 at the Forest Ground to claim their spot. Levi Colwill scored the only goal of the game, tapping home Neto's low cross.
The result ensures the Blues finish in fourth place.
Manchester City won 2-0 at Fulham, thanks to goals from Ilkay Gundogan and Erling Haaland.
The former English champions round off a miserable season in third place behind Liverpool and Arsenal.
Newcastle United claimed the last spot via the league despite losing 1-0 at home to Everton.
Tottenham Hotspur already qualified earlier this week, after they beat Manchester United 1-0 in the Europa League final.
Champions League: Liverpool, Arsenal, Man City, Chelsea, Newcastle, Tottenham (Europa League)
Europa League: Aston Villa, Crystal Palace (FA Cup)
Conference League: Nottingham Forest