The district attorney's office and Berndt's lawyer declined to comment.
Berndt taught at the South Los Angeles school for more than 30 years. The allegations against him came to light when a drugstore photo technician noticed dozens of odd photos of blindfolded third-graders and reported them to authorities. Investigators said they discovered a plastic spoon in Berndt's classroom trash bin. Tests found traces of semen on it.
Berndt was removed from the classroom in January 2011.
Dozens of lawsuits and claims were filed on behalf of victims. Sean Rossall, a school district spokesman, said 63 cases have been settled for a total of $29.5 million, and 71 are pending.
He said the district has not seen the plea agreement and won't comment until it's approved by a judge.
The case led to a wide-ranging overhaul of how the nation's second-largest school district handles allegations of sexual abuse after it was revealed that previous complaints about Berndt's behavior were ignored.