QP ended 12 points adrift at the bottom of league two.
A Scott Chaplain penalty after 32 minutes was the only goal of the game.
James Marr and Kyle Chalmers made their debuts at Cliftonhill.
Meanwhile, Queen’s Park will be in action in the final of the reserve league cup against Cowdenbeath.
The final, which takes place tonight, will be played at Central Park (kick Oof 8pm).