The large illuminated Booze Buster sign was erected over a store taken over by Martin McColl last year. It immediately caused a storm of protest from local residents and parish councillors, who deemed it "crude and inappropriate".
"At a time when this country is concerned with the level of drinking, particularly among young people, a bright sign shouting 'Booze Buster' gives out completely the wrong signal," said local resident Susan Walker, who also wrote a letter to the company.
Following discussions with officials from Bath & North East Somerset Council, the sign has now been replaced with a 'Simply Drinks' banner. Parish council chairwoman Veronica Packham thanked Martin McColl for acting "so speedily".
Last month Martin McColl was forced to significantly reduce the size of a Booze Buster sign in Trehafod, South Wales, after residents made similar complaints.
The company was unavailable for comment on whether the branding would be reduced or removed from other stores.