A man was shot in the back in Manhattan overnight and a straphanger was slashed on the subway in separate incidents, police said.

The shooting victim, 36, was wounded in the courtyard of the Frederick Douglass Houses at 120 West 104th Street, near Columbus Avenue at around 1:50 a.m., police said.

He was taken to St. Luke’s Roosevelt Hospital in stable condition, cops said.

The unidentified gunman, last seen wearing gray pants and a black hoodie, ran off, authorities said. There are no arrests.

Meanwhile, in the Bronx, a man sitting on a northbound Number 1 train bench in the Bronx was slashed in the hand early Saturday, police said.

The incident occurred at the Van Cortlandt Park–242nd Street station at around 8:40 a.m. when the victim, 58, was cut on the left hand by a man in a Yankees cap, black hooded shirt with white lettering, black jeans and white sneakers.

The victim was taken to St. Barnabas Hospital in stable condition. The suspect ran out of the station.