The accident happened just before 3:00 p.m. Saturday on I-10 eastbound near Ruthrauff.
The accident left the SUV on its side. Goldberg says investigators had to close down the freeway at Ruthrauff for part of the investigation.
He says the accident was caused by tire separation on the SUV.
The 15-year-old girl and 18-year-old man were not wearing their seatbelts. The 13-year-old girl was wearing her seatbelt and investigators don't know if the other two passengers were wearing their seatbelts.
The family was traveling from California to Mexico.
All lanes of I-10 eastbound are now open.