For the first time under Arsene Wenger, Arsenal will not feature in the UEFA Champions League after finishing outside of the top 4.
The gunners beat Everton 3-1 at the emirates but wins for their rivals have condemned them to 5th on the log.
Manchester City beat Watford 5-0 to secure 3rd place ahead of Liverpool who beat Middlesbrough 3-0 in 4th.
Elsewhere, champions, Chelsea won a record 30th game of the season with a 5-1 win over relegated Sunderland.
Harry Kane scored his 27th, 28th and 29th goal to win the golden boot as Tottenham beat Hull City 7-1, West Ham edged Burnley 2-1, Leicester and Bournemouth played a 1-1 draw at the king power.
Manchester United beat Crystal Palace 2-0 at old Trafford, Stoke won away at Southampton, while Swansea beat West Brom by 2 goals to 1.