Lyons cited irreconcilable differences as the reason she wants to end their marriage after 15 years.
The couple exchanged vows in 1998 and separated Monday. They are the parents of an 8-year-old son.
TMZ said Arkin's representative declined to comment on the divorce filing.
The actor is one of the stars of TV's "Sons of Anarchy."
Celebrity Families of 2014 [PHOTOS]