A man fatally shot an acquaintance in front of her Queens home yesterday and then turned the gun on himself, cops said.

The 51-year-old woman was shot twice in the chest and was lying near the sidewalk on 56th Road, opposite Kissena Park, in Flushing at around 5:10 p.m., cops said.

The man, 55, was in the driveway with a single shot to the head. A witness said there was a gun near the man’s body. Cops said a .38-caliber gun was recovered at the scene.