The e-magazine will use Howse Jackson's digital software platform and will be distributed via email to an initial trial readership of 120,000.
The magazine will feature articles as well as interactive content such as videos, games and puzzles.
Ian Jackson, Howse Jackson's head of digital, said: "With 2m members, Unite is the largest trade union in Britain and its magazine has a huge circulation.
"By creating a digital version, the trade union has shown that not only is it pioneering and progressive, but also environmentally forward thinking."
Dai Davies, head of publications of Unite, said: "Unite is the largest trade union in Europe and we have recently taken a huge step forward in our communication strategy with members, by creating a digital membership magazine.
"This step -- unprecedented for trade unions -- was one which we took carefully, but with the excellent support, consideration and confidence given to us by the team at Howse Jackson Marketing, we have never looked back."