Byrne, writer of critically-acclaimed play The Slab Boys and cult television series Tutti Frutti, has hand-drawn the label for 200 bottles of Barney's Extra Pale.
Up to 100 of the bottles, marked by a skull design created using a print technique, will be hidden in cases of Extra Pale beer bound for specialist off-licences.
Andrew Barnett, who founded Barney's Beer in July 2012, said: "The closest thing I can compare it to is the golden ticket in Willy Wonka and the Chocolate Factory."
The Extra Pale brand has become a permanent addition to Barney's established line-up, which comprises Good Ordinary Pale Ale, Red Rye and Volcano IPA. The beer is made in a microbrewery at Summerhall, a creative hub and business incubator close to the city's Meadows parks.
It also home to the distillery behind Pickering's Gin.
Mr Barnett said the link-up with Byrne came about "by accident".
He stated: "Being a small brand we are always looking for opportunities to promote the business. John is a common figure at Summerhall - he is friends with the owners - and I just happened to get chatting to him and asked if he fancied doing the label.
"I feel really privileged that such a well-respected artist such as John - who has paintings in the National Portrait Gallery -agreed to work with our brand."