Deans, who led the Wallabies from 2008 to 2013, is assembling a high quality side with Australia's Berrick Barnes, New Zealand's George Whitelock and Argentina's Tomas Cubelli being the first three names in his squad.
The match against Ireland will be played at Thomond Park in Limerick on May 28 and they will play the England XV at Twickenham on May 31.
"I count my trips back to the UK as special times in my rugby coaching career and a couple of fixtures against the third and fourth ranked rugby nations in a World Cup year are an exciting prospect," Deans said in a statement from the club.
"The Barbarians are an iconic team with a special place in rugby's history and it is a privilege to be invited to be their coach. Their performances against England and Australia last year were outstanding and that is the standard we have to uphold."
Last season the Barbarians defeated England 39-29, followed by last November's 40-36 defeat at the hands of Australia.
The matches in May come soon after the Barbarians celebrate the 125th anniversary of their foundation on April 9.
They are also playing Edinburgh club Heriot's on April 21 to celebrate the Scottish club's own 125th anniversary.
(Reporting by Mike Collett; editing by Sudipto Ganguly)
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