The company hopes to open the first in London in September and is weighing up Islington or Farringdon as possible locations.
Stores will sell craft beers from around the world alongside the brewer’s own range, which includes Punk IPA, 5am Saint and Dead Pony Club.
The Scottish brewer aims to have five branches in major cities within 18 months and eventually wants shops in every UK city where it has a craft beer bar.
It currently has venues in Aberdeen, Birmingham, Bristol, Edinburgh, Glasgow, Leeds, Manchester, Newcastle, Nottingham and London, where there are two. Another is due to open in Sheffield in the autumn.
The shops will be funded out of a £4 million investment pot that Brewdog is hoping to raise through the second phase of its Equity for Punks share scheme.
It claimed to have raised £1 million in the first 24 hours of the crowd-funding exercise, in which members of the public can buy shares online .
The rest of the money will be spent on expanding its brewery and opening more bars.
The first phase of Equity For Punks – which is accredited by the Financial Services Authority – raised £2.2 million in 2011.
The launch of the latest share offer was publicised by Brewdog’s founders driving a tank around the Bank of England.
Co-founder James Watt said: “We want to create a community of people who are as passionate about beer as we are and that will share in our growth.
“The support of the people has always been the driving force behind Brewdog and the phenomenal success of Equity For Punks has proven how much our fans believe in our mission to redefine the UK beer scene.”