The incident happened at Morningside Avenue and West 118th Street in Morningside Heightsk around 9:15 p.m.
The three victims, two in their 20s and one in his late teens, were stabbed or slashed during a dispute near a basketball court.
They were all taken to St. Luke's Hospital with non-life threatening injuries.
No arrests were made, and police have not immediately determined a motive.