The controversial Rockstar North-developed title can be purchased digitally for $9.99 / €9.99 / £7.99.
The game puts players in the role of James Earl Cash, a death row inmate who's forced to star in a sick kill-or-be-killed reality TV show.
Rockstar's blurb explains: "Your fate is left in the hands of serial creepo Lionel Starkweather. Evade, fend off, and turn the tables on the hordes of killers out for your head."
Rockstar's PSN catalogue currently includes the PS2-era Grand Theft Auto titles, the Midnight Club series, Bully, Red Dead Revolver and Max Payne.
The company also said last week that cult movie tie-in The Warriors will also be available to download via PSN "soon".
Rockstar recently released a fresh batch of Grand Theft Auto V screenshots.