Police say Burky is being held on $150,000 bail at the Santa Monica Jail.
Garner was granted a restraining order against Burky in November 2008 after she told the court she believed he posed a threat to her and her family. Garner alleged that Burky had been stalking her since 2002.
The former star of the television series "Alias," Garner has also appeared in films such as "Juno" and "The Kingdom."
