An investigation Murphy was sparked by Times stories that revealed he'd been working in casting offices in Hollywood under the name Jason James.
Murphy served five years in prison after a conviction for molesting a boy he met at a summer camp, where he worked as a teen counselor.
His credits include the films "Bad News Bears" and "Super 8."
Murphy surrendered to authorities and was being held on $500,000 bail.
He faces a maximum of three years in prison.