The Friends with Benefits star's two young sons, Story and Easton, begged to take home the spaniel mix they spotted at Hollywood's Tailwaggers pets store, where an adoption event was being held.
The boys named the eight-week-old puppy Girly but Elfman admits the canine is more troublesome than her adorable name suggests.
In a post on her Twitter.com page, the actress writes, "My husband woke to another girl in our bed this morning. Sorry, hon. (The dog is) trashing the place."
Miley Cyrus and Drew Barrymore have also adopted abandoned dogs in recent weeks.