That victim ran down to the nearby subway station, which serves the number 4, 5 and 6 subway lines, and was found bleeding on the platform.
Authorities say a 26-year-old man was stabbed once in the torso and once in his left arm. A 48-year-old man was also stabbed in the torso and once in the back.
A third victim was located nearby, at the intersection Fifth Avenue and East 120th Street.
That person, 27, was stabbed in the back and slashed to the head.
All three victims were taken to nearby hospitals. One is listed in critical condition. The other two are stable.
Authorities were looking for the suspect, a black man in his 20s, who fled the scene into the nearby Mount Morris Park. He was wearing a black Polo shirt and blue jeans.
"That makes me nervous somebody walking around stabbing somebody. It could be you. I hope they catch the fool," said Latrice Jacobs.