Witnesses said the car crashed into two children at play on the sidewalk, where they lay bleeding after being hit, and two young women.
A 2-year-old boy was hospitalized in critical condition, and a girl, also 2, in stable condition, police said. The women, 16 and 19, were in stable condition, according to police.
Police say a teenaged driver ran from the scene on East 19th Street, but he was later arrested.
The suspect, 16-year-old Akeem Grant, faces charges that include reckless endangerment, reckless driving and leaving the scene of an accident.
Saturday's accident came a day after cars veered onto sidewalks at three separate locations in Manhattan, hitting 18 people. Three were hospitalized in serious condition; 11 others were treated for less serious injuries.
The driver in one of Friday's accidents also was taken into custody, after hitting 10 people in the Garment District. The 23-year old driver was arrested on charges of unlicensed driving and leaving the scene of an accident.