The incident happened around 11 a.m. on West 96th Street.
Authorities say a silver Toyota Rav4 jumped the curb and careened into a 63-year-old woman and a 59-year-old man.
The woman was unconscious at the scene and suffered a serious leg injury, and she was rushed to Mount Sinai-St. Luke's Hospital in critical condition. The man was conscious and is listed in stable condition.
The driver stayed at the scene.
The cause of the crash is under investigation.