Met officers were called to reports of a fight and criminal damage outside Colindale station at 1am on May 19. Upon seeing police, a man ran into the Tube station.
After a failed attempt to arrest the man, he ran onto the train tracks where he was fatally injured.
The incident was referred to the Independent Office for Police Conduct (IOPC).
Following a review of the officers’ body-worn cameras, the IOPC has decided an investigation is not required.
Officers from British Transport Police (BTP) continue to investigate the incident, and are providing support to the man’s family.
Superintendent Lorraine Busby-McVey, responsible for policing in Barnet, said: “This is a tragic incident, and our thoughts are with the family of the man who very sadly lost his life.
“It is only right the matter was reviewed by the IOPC given the circumstances, and we thank them for their swift work in reaching this outcome – which is helpful to all those involved.
“Our colleagues from BTP will now progress the investigation and we will be providing statements from the officers involved to assist their enquiries.”