The store is in Gray’s Inn Road in central London and will sell draught and packaged craft beer from all over the world.
It will also sell homebrew supplies and offer courses to budding homebrewers.
A second shop is expected to open in Glasgow within weeks.
The London shop will be managed by Mark Hislop, who has been with Brewdog since 2010 and involved in setting-up several of its craft beer bars.
“It is an evolution of our bar look with industrial steel and stripped back, but a bit more inviting,” he said. “There’ll be shelves made of scaffolding and reclaimed wood, and old factory lights.”
The opening is several months behind schedule, having first been announced last summer and earmarked for September.
Hislop said: “It’s just taken a while to find the right site and there have been lots of other projects on the go.”
Brewdog said last year that it intended to have five shops by the end of 2014.
“I can’t say for sure we will have five this year,” said Hislop, “but Glasgow will open fairly soon and if it’s successful we’ll look to roll it out as we have done with the bars.”
The shops are being funded from more than £4 million raised through Brewdog’s Equity for Punks share scheme.