A cold-hearted Queens purse-snatcher punched his victim in the head so hard yesterday that she’s unlikely to survive, police sources said.

The woman was on 41st Avenue in Flushing at 1:37 a.m. when the thug attacked her and fled with her handbag.

It’s unclear where the woman was headed or what was taken in the assault near an apartment complex at 144-31 41st Avenue.

The woman was taken to North Shore Hospital in Forest Hills, where she was in critical condition.