The man’s family have been informed following the fatal incident, which happened at the Bentley station foot crossing in Alice Holt Forest just before 4.30pm on October 5.
An updated statement by British Transport Police read: “Just before 4.30pm [on Wednesday], our officers were called to Alice Holt level crossing in Farnham after reports a person was struck by a train.
"Officers attended alongside paramedics, however an 83-year-old man from the local area was sadly pronounced dead at the scene. His family have been informed.
"This incident is not being treated as suspicious and has been referred to the rail accident investigation branch. A file will be prepared for the coroner.”
South Central Ambulance Service also dispatched a rapid response vehicle and an officer to the scene, and Network Rail has confirmed it is working with the authorities investigating the fatality.
Owen Johns, a spokesman for Network Rail, added: “Just before 4.30pm on Wednesday, October 5, a member of the public was fatally struck on a level crossing near Bentley station.
"We are working closely with the British Transport Police, rail accident investigation branch and the Office of Rail and Road to support their investigations. Our thoughts are currently with the family.”
Rail operator South West Trains also expressed sympathy with the family.
A spokesman said: "Our first thoughts are for the family and loved ones of the person involved. We will also be providing any support needed for the driver of the train.”
There are five pedestrian foot crossings between Farnham and Alton, including three within the boundaries of Alice Holt Forest.
The Bentley station crossing was last assessed by Network Rail in September 2015, and it is estimated that 115 pedestrians and cyclists use the crossing every day.
It is considered a fairly high-risk crossing by Network Rail, awarded the third highest risk assessment out of 13 categories for both pedestrian crossing users and rail traffic.
The "key risk drivers” identified at the crossing are frequent trains, large numbers of users, sun glare, crossing is near station and deliberate misuse or user error.
However, according to Network Rail, no incidents of misuse, near misses or accidents have been recorded at the crossing since at least September 2014.