Brent Housing Partnership (BHP) is to hold an independent review following the death of a woman in an incident in the Donnington Road/Harlesden Road area, NW10.
A Brent Council spokesman said: "We are shocked and saddened to hear of this tragic accident and we are thinking of the victim's family.
"We take this extremely seriously and are acting quickly and robustly to find out exactly what happened. We have also informed the Health and Safety Executive.
"An inspection since the incident has suggested that we should remove more material from the tree as a precautionary measure.
"We use experts to inspect our trees and there's no reason to think that other trees are dangerous."
The tree which fell was from an estate managed by Brent Housing Partnership, which is an arm's length management organisation contracted to manage the council's housing stock.
BHP and the council employ experts to inspect trees on estates, highways and in parks.
The Health and Safety Executive is expected to tell the council and BHP shortly whether it will investigate or not.