Diego Jose Miranda Lopez, who worked at the North Hollywood station and was on the force for less than a year, was booked for forcible rape of a child under 14.
LAPD said the alleged rape happened before he joined the department. The agency said he resigned when he was confronted about the allegations.
RELATED: Former Minnesota officer who fatally shot Daunte Wright released from prison
He was taken into custody in the city of Los Angeles and is being held without bail.
The L.A. County District attorney will review the case Monday to determine if charges will be filed.