The Clothes Forever Styling Game app lets gamers get dressed celeb avatars that resemble stars inclusive of the Kardashians, Adele and Gomez.
But Gomez's legal motion calls it "reprehensible" and a "gross violation" of her exposure rights.
And it asks for a jury trial to hear the case.
The app shop describes Clothes Forever as the "hottest new style sport".
"Kardashian, Gigi, Beyonce, Taylor and more can be dropping by and soliciting for your style advice," it says.
And as well as dressing up celebrities, players can "sell off sexy hunks like Leo, Justin, Zac or Messi".
The criminal document says manufacturers pay Gomez "tens of millions of dollars" for endorsement contracts, while sponsored social-media posts can attract $800,000 (£636,000) a time.
It compares a publicity photograph for Clothes Forever to a photoshoot Ms Gomez did with Canadian mag Flare in 2015.
And it describes Clothes Forever as "malicious program-riddled" software that would damage Gomez's recognition and make it more difficult to market her personal style-targeted video games.
Several companies are worried with the improvement and distribution of the software program along with China-based Guangzhou Feidong Software Technology Co, Forgame Holdings, registered in the Cayman Islands, and UK-registered Mutant Box Interactive Limited.
In 2014, Mean Girls actress Lindsay Lohan sued the makers of Grand Theft Auto V, claiming they had used her likeness with out permission.
However, a choose finally ruled the photos in the game were "satirical representations of the fashion, appearance and persona of a cutting-edge, seashore-going young female", rather than an approximation of Lohan.
