AFM President Ray Hair announced plans to picket Lionsgate, the studio behind the highly-anticipated film, at a downtown Los Angeles shoot of Mad Men, given that filming has already finished on The Hunger Games, Deadline reports.
"The American Federation of Musicians is moving to organise the independent film studio Lionsgate, and we are working right now toward securing AFM coverage for all musicians who might be employed on their upcoming movie The Hunger Games," Hair told AFM members.
"The director, cinematographers, editors, actors, writers and many others are all receiving union wages, benefits and protections for this US-filmed movie, and so it should be for the musicians," he continued.
"Unfortunately, we currently have no motion picture contracts on file for the movie The Hunger Games, although we know that post-production music work has begun on this film domestically.
"Our goal is that Lionsgate recognise the importance of being a responsible employer, as well as the unparalleled value of working with the world's finest musicians - you, our AFM members."
A variety of musicians have contributed to the film's soundtrack, including Arcade Fire, Taylor Swift and The Decemberists.
Meanwhile, James Newton Howard is composing the score on the film. He replaced Danny Elfman after the composer backed out of the highly-anticipated movie due to a scheduling conflict.
> The Hunger Games: Jennifer Lawrence's action movie in pictures
The Hunger Games stars Jennifer Lawrence as Katniss Everdeen and will be released on March 23, 2012.
Watch a trailer for The Hunger Games below: