The victim was crushed by a pallet of bricks that fell from a building site crane at the junction with St Pauls Way on Tuesday morning, 27 March.
Emergency services attended the scene and the woman was taken to an east London hospital, where she remains in a critical condition. Her next of kin have been informed.
A man at the scene was also treated for shock.
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A police spokesperson said: "Officers were called at 09:38hrs on Tuesday, 27 March to Burdett Road at the junction with St Pauls Way, E3.
"A 28-year-old woman had apparently been struck by debris falling from a building site crane.
"Officers from Tower Hamlets CID are investigating in consultation with the Health and Safety Executive."
Steve Boreham, Director of Higgins Homes, said: "Our primary thoughts and concerns are with the lady who has been injured and those affected today.
"We are working with the Health & Safety Executive who are investigating the incident to determine the cause and will release more information as soon as it’s available. Our priority at the moment is of course to make the area safe."
Any witnesses or anyone with any information is asked to call police on 101 or contact via Twitter @MetCC quoting reference CAD 2050/27MAR.
(LM/MH)
