The singer is overseas and turned 23 Thursday. Swift's spokeswoman declined comment.
Court documents show 24-year-old Jacob Nicholas Kulke was arrested early Friday after climbing a fence and secured gate. The City Paper previously reported that the $2.5 million house in Belle Meade, a Nashville suburb, was bought last year by a trustee who handles property deals for Swift.
Kulke told police he had social media ties to someone at the home and he wanted to surprise her for her birthday. Court records don't show if he has a lawyer.