Authorities say the investigation into Rafael Venegas began on July 1 when a 20-year-old woman, who was not a St. Anne's parishioner, reported an incident that happened on the property of St. Anne's Parish in September 2011.
Last Thursday, Venegas was charged with one count of sexual battery and one count of furnishing alcohol to a minor.
Venegas, accompanied by his attorney, surrendered to police on Monday. He was released on $20,000 bail. An arraignment hearing has been scheduled for Friday.
Anyone with any additional information is urged to call the Santa Monica Police Department at (310) 458-8495.
