Security guards alerted authorities after Jacob Kulke, 24, allegedly scaled a fence at the 23-year-old singer's property in Nashville in the early hours of Friday, reported TMZ online.
Police officers arrested Kulke, who allegedly told them he had travelled from Wisconsin to celebrate Swift's 23rd birthday.
Kulke was booked on suspicion of trespassing and held on USD 10,000 bond.
Swift was not home at the time of the incident. She spent her birthday in Britain with her rumoured boyfriend, One Direction star Harry Styles.