A source close to the investigation says Murillo did not take the bribe and instead reported it to authorities.
The indictment accuses Silberman of solicitation of money or valuable consideration to induce a person not to become a candidate for public office. Two of Silberman's political consultants are separately accused of offering Murillo money to quit.
Silberman is a former court commissioner who presided over the child custody hearings of actress Denise Richards and ex-husband Charlie Sheen. He won the seat on the bench by five points over Murillo.
Silberman has been disqualified from acting as a judge without loss of salary while felony charges are pending, a court spokesperson said Thursday.
Efforts by ABC7 to reach the judge Thursday were unsuccessful.