Troopers said there were a total of eight family members in the Ford Expedition when it rolled two or three times along the northbound lanes just past Exit 121.
Video from the scene showed the Ford with New York license plates came to rest on its roof and a door was peeled back where emergency workers cut at least one person from the wreckage.
Witnesses reported the SUV was weaving in and out of traffic and travelling roughly 80 to 85 mph before the crash.
Trooper G.G. Barnes of the North Carolina Highway Patrol said early Sunday that a 22-year-old woman, her mother and grandmother were killed when the family's SUV blew a tire.
Barnes identified the victims as Rosanny Marte, 22; Angela Marte, 46; and Rosa Marte, 71. Five other family members in the vehicle -- including the husbands of Angela and Rosa Marte, and Angela's two other children and nephew -- remained hospitalized early Sunday with non-life-threatening injuries.
Authorities said the two older female victims were not wearing seatbelts and were thrown from the vehicle.
The crash happened around 4:20 p.m. Saturday, and the resulting emergency response, shut down both the north and southbound lanes of the interstate for a time.