Burnley were relegated from the Premier League after a 2-1 defeat against Tottenham on Saturday.
Vincent Kompany’s side needed a victory in north London to have any chance of taking their survival bid to the last day of the season.
Jacob Bruun Larsen’s opener gave the second-bottom Clarets a glimmer of hope, but Pedro Porro equalised and Micky van de Ven bagged Tottenham’s winner.
Five points adrift of fourth-bottom Nottingham Forest with one game left, Burnley joins already-relegated Sheffield United in returning to the Championship after last season’s promotion.
