Police say the woman was found unconscious in the middle of Eastern Parkway in Crown Heights around 11:30 a.m.
She was apparently trying to cross the parkway near Utica Avenue when officials say she was hit by a white Nissan Murano with New Jersey plates.
The SUV fled south on Schenectady Avenue.
The victim was taken to Kings County Hospital in critical condition.
She did not cross at an intersection.
Police have not released the woman's name, but she lives on Carroll Street, three blocks away from where she was hit.