TMZ reveals that the unnamed suspect showed up at Stone's Hollywood Hills home on Thursday and began "banging at her gate, claiming he killed Osama bin Laden".
The man, who was estimated to be about 50 years old and from the Midwestern US, also claimed that he and Stone had a child together and shouted the accusation repeatedly.
Staff members at the actress's home alerted the Los Angeles Police Department to the intrusion and officers took the man into custody, where he is currently being detained for mental evaluation.
Stone was not present at the house at the time as she is currently in New York shooting a film.
She was recently granted a restraining order against another alleged stalker Bradey Gooden, who has been banned from going within 100 feet of Stone or her children.