The incident occurred on the Southern State near Route 110 at about 3 a.m., police said.
Maureen Gitto, 43, was arrested and charged with three counts of aggravated driving while intoxicated under Leandra's Law, as well as four counts of third-degree assault and three counts of endangering the welfare of a child.
Police said that Gitto had her three children in her minivan when she crashed into a disabled Chevrolet sport utility vehicle stopped on the shoulder of the eastbound roadway just east of Route 110.
Everyone involved in the crash -- Gitto, her children and an occupant in the disabled Chevrolet -- were taken to Nassau University Medical Center in East Meadow for non-life-threatening injuries, police said. Additional details were not available.
Police said Gitto, who also was issued summonses for traffic violations, will be arraigned upon her release from NUMC.
Leandra's Law is named for 11-year-old Leandra Rosado, who was killed when the van she was riding in overturned on the Henry Hudson Parkway in October 2009. Authorities said the driver, Carmen Huertas, was legally drunk at the time of the accident, which also injured six others in the van.
The law makes it a felony in New York State, even on first offense, to drive drunk with a child under the age of 16 in the vehicle. The law was enacted in November 2009.