The maximum height of the turbines would be 430ft (131m)
Two wind turbines on the Bristol Channel coast located near Avonmouth could provide 20% of the electricity used by Bristol City Council.
The council said it spends more than £5m a year on providing electricity for council buildings and street lights.
The proposed location for the turbines is near Severn Road on the former Shell oil tank site.
A city council spokesman said the site is around a third of a mile (500m) distant from the nearest home.
A public exhibition is to be held on 8 April at Avonmouth Community Centre to explain the proposal.