Police say the man made it through the front gate and tried to open the door of the Studio City home.
The suspect reportedly said he was Cyrus' friend and that he was waiting for her to come home. He then started lighting candles outside. Police say he told them he and Cyrus had been secretly married for years.
The singer wasn't home at the time of the incident, but relatives staying at the home called police.
The identity of the suspect was not immediately released.