The ale is the world's first 'protest beer', aiming to support LGBT communities by undermining the potential of the Winter Olympics to deflect attention from Russia's recent law banning 'homosexual propaganda'.
50% of profits from the sale of the beer will be donated directly to charities that represent oppressed minorities around the world.
Hello My Name is Vladimir is a 8.2% ABV double IPA containing Limonnik berries, an ingredient regarded by some Russian hunters to enhance sexual performance in men.
The Putin-inspired double IPA is the latest in a long line of BrewDog beers making an impact during major events.
In 2012, the brewer launched Never Mind the Anabolics, a beer laced with steroids, mocking Heineken's sponsorship of the Olympic Games in London.
Hello My Name is Vladimir will be available for £2.89 per bottle in all BrewDog bars and brewdog.com from 9.30am today.
Hoping to mount global social media pressure on Putin by using the dedicated hashtag #NotForGays, BrewDog has also sent a case of the limited edition beer to President Putin himself.