City News Service says 51-year-old Kip Richard Arnold pleaded guilty on Monday to two felonies. He will be sentenced on Dec. 17.
Police were chasing Arnold's pickup truck in July when the truck swerved over an embankment in Rolling Hills Estates and crashed into a tree 70 feet below.
Arnold was a physical education teacher at Southeast Middle School in South Gate.
The Los Angeles Unified School District placed him on unpaid leave after his arrest. The district says an update on his status isn't available.