A man has been arrested in connection with the deadly shooting of Catholic Bishop, David O'Connell.

The Los Angeles auxiliary bishop was shot at his home on Saturday.

Suspect Carlos Medina, 65, husband of Bishop O'Connell's housekeeper, was arrested by police on Monday.

According to the Los Angeles County Sheriff’s Department, Medina had previously carried out work at the bishop’s home in the San Gabriel Valley.

Speaking at a press conference on Monday, Sheriff Robert Luna said Medina claimed O'Connell had owed him money.

A local tipster (bookmaker) raised concerns about Medina's strange and irrational behaviour in a report to police on Sunday evening, saying he had been talking about the bishop owing him money.

According to Sheriff Luna, Medina was connected to the crime via surveillance footage that showed a vehicle at the O’Connell home around the time of the killing.

Weapons which were found at his home in Torrance are awaiting ballistics results.

The housekeeper is said to be fully cooperating with detectives, while the motive of the shooting remains under investigation.

Medina's bail has been set at $2-million.