The incident happened at the station in Charcot Road just after 1.50pm today (March 18).
An ambulance crew, a paramedic in a fast response car and an incident response officer from London Ambulance Service attended.
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The man was pronounced dead shortly after.
The Northern line is part suspended between Golders Green and Edgware as the incident is being deal with.
Minor delays are also being reported between Camden Town and Golders Green.
Police have since responded and shared more information in an update.
A spokesperson for London Ambulance Service said: “We were called at 1.53pm today (18 March) to reports of an incident in Charcot Road, Colindale.
“We sent resources to the scene including an ambulance crew, a paramedic in a fast response car and an incident response officer.
“We also dispatched London’s Air Ambulance.
“Despite efforts to save his life, a man sadly died at the scene.”