Police were called at 10.30pm on Tuesday, 19 November to Nelson Street, E1, after a man was found collapsed with a head injury.
Officers and LAS attended, and the 40-year-old victim was taken to hospital.
He died on Thursday, 21 November and his next of kin are being supported by specialist officers.
A post-mortem examination to determine cause of death will be held on Monday, 25 November, at Poplar Mortuary.
An investigation by homicide detectives from the Specialist Crime Command is underway.
Detective Inspector Perry Benton, said: “We’re still in the early stages of our investigation but it is imperative that anyone with information regarding the incident contacts us as soon as possible.
“I am looking to speak to anyone who was in the area that Tuesday night and saw anything suspicious.”
There have been no arrests.
Any witnesses or anyone with any information is asked to call incident room on 020 8345 3775 or police on 101 or contact via Twitter @MetCC. Please quote CAD 10007/19 NOV.
To give information anonymously contact Crimestoppers on 0800 555 111.