A 23-year-old man was fatally shot outside a Brooklyn public housing complex Wednesday night, police said.

The victim was shot in his face in front of a building at NYCHA’s Marlboro Houses in Gravesend at about 10:45 p.m., cops said.

He was unconscious and unresponsive when police arrived.

EMS took the man to NYU Langone Hospital-Brooklyn, where he was pronounced dead, police said.

No arrests had been made in the shooting as of early Thursday, cops said.