It happened on Gordon Street around 2:10 p.m. in the Stapleton section.
Police recovered a silver Quest minivan, but continue to search for the driver.
SURVEILLANCE OF THE VAN AND VICTIM (WARNING: Content may be disturbing to some viewers)
Surveillance video of Staten Island hit-and-run
The 36-year-old victim was taken to Richmond University Medical Center in critical condition.
So far, there are no arrests.
Stay with Eyewitness News and abc7NY for the latest on this breaking news story.