CHP officers found their SUV rolled up an embankment just off Highway 180 near Chestnut at around 2:30 a.m. on Sunday morning.
Based on tire tracks, they believe the father veered off the road at a high speed and crashed up the hill.
Paramedics took the three young children, including an infant, and their mother to a hospital.
Officers tell Action News that 27-year-old Donovan Yang was arrested for two felony DUI charges and felony child endangerment.
He was also transported to the hospital with a CHP escort to receive treatment for his injuries.