The 26-year-old 'Judas' singer celebrated Thanksgiving holiday with her family in Peru, where she continues her 'Born This Way Ball' tour, reported Digital Spy online.
The singer took to Twitter to tell about the break-in.
"Monster fact when Gaga is asleep try to break into the garage, sing loud as possible, and ring the doorbell. Repeatedly happening now, bad kids," she posted.
"Thanksgiving story: woke up for leftovers in kitchen (naked) - stumbled on security camera revealing 35 monsters in my garage why, I love you," she added.
Despite the inconvenience Gaga joked about the incident, saying, "I should be mad I guess except I tried to figure out how to slide stuffing under the door, but there is no cat-flap."
Gaga is gearing up for the release of the music video for her new single 'Cake'.