Attorneys for Beresford-Redman claim federal prosecutors don't have enough evidence to hold him while he fights extradition to Mexico.
U.S. Magistrate Judge Suzanne Segal disagreed, and again ordered that Beresford-Redman remain jailed without bail pending extradition proceedings.
Bruce Beresford-Redman has been in jail since Nov.16.
Prosecutors say it's too early to present evidence obtained from Mexican authorities.
An L.A. judge last week refused to set bail for Beresford-Redman. He is wanted in Mexico for allegedly killing his wife, Monica Beresford-Redman, while the two vacationed at a Cancun resort.
Monica's body was found on April 8 outside the hotel. She had been beaten and strangled.