The statue of the 17th Century slave trader, which has been in the city centre since 1895, was torn down during a Black Lives Matter protest on June 7.
The bronze memorial was later dumped into Bristol harbour.
Avon and Somerset Police said no arrests were made at the time but the force said it would be reviewing footage of a “small group of people” who were filmed pulling down the statue with ropes.
The investigation remains ongoing.
This is a developing news story, more to follow.