Vanessa Ford vanished near Richmond Road in Hackney at roughly 11am on Saturday.
Formal identification is still to be confirmed but Ms Ford’s family have been informed.
A spokesperson for the British Transport Police said: “Officers were called to the line close to Dalston Kingsland at 11.49am on 23 September following reports of a casualty on the tracks.
“Paramedics also attended...sadly a person was pronounced dead at the scene. The incident is not being treated as suspicious and a file will be prepared for the coroner.”
Author Sophie Haewood was among those who issued public appeals to help find Ms Ford following her disapperance.
Ms Heawood wrote on social media site X: “A friend of friends, a mother, has gone missing from London Fields, Hackney.
“Missing person Vanessa has been missing since 11am Sat 23rd September. Last seen in vicinity of Richmond Road where she lives, in dark top and leggings. Please contact police with any info at all.”
She also shared a photo of Vanessa smiling in a patterned green top.