The Quakers announced on Friday night that there will be a new person in the dug-out next season. Wright has served the club since October 2017.
They could finish as high as 15th in the National League North but that isn’t enough for him to be back for pre-season in July.
His assistant manager Alan White is to remain in his position.
A statement read: “Following discussions between the Darlington FC board and manager Tommy Wright, the decision has been agreed to part ways for the benefit of the football club, therefore Saturday’s home game against Leamington will be Tommy’s last game in charge.”
David Johnston, the club’s Chief Executive Officer, said: “This has been a difficult decision to make as Tommy is a talented young manager with a bright future ahead of him.
“As a board we have to balance that potential versus current results which ultimately haven’t been good enough this season. I would like to wish Tommy all the very best in his future career.”
Chris Stockdale, Darlington FC Supporters Group Chair added: “I want to thank Tommy for his tireless dedication and commitment since he arrived at our club.
“In many areas he has helped moved our club forward, notably with the launch of our own academy and he has generated significant transfer income from player sales.
“On a personal level he has been a pleasure to work with, conducting himself with dignity and grace regardless of circumstances.
“Ultimately results on the pitch this season have fallen short of expectations but Tommy remains a talented young manager and coach and I wish him every success in the future.”