The driver in the early morning Monday accident was identified as Jose T. Santos, 35, of Copiague.
Investigators have said excessive speed and slick road conditions may have been factors in the North Merrick crash.
Santos was at the wheel of a 1996 Toyota 4Runner when it hit a guardrail and went down an embankment, police said. He was heading east when the accident occurred about 4:45 a.m. Monday, east of Exit 24, police said.
No updates on the accident investigation, or on the condition of the injured passengers, were available Thursday morning, State Police said.
In the past two calendar years, 16 people have died in 11 crashes in the Nassau County section of the Southern State Parkway, according to Nassau County records. State records show 34 people were killed in 29 accidents on that section from 2007 through 2011.
The stretch of the parkway between Exit 17 and Exit 30 in Nassau has been dubbed "Blood Alley" by police and automotive safety groups because of its history of fatal crashes.