TMZ reports that the actress applied for the legal restriction after the man broke into her Los Angeles home.
In the documents, Stone claimed that Bradly Gooden is an "obsessed mentally unstable delusional person". Documents obtained by the website also claim that Gooden said he was Hillary Clinton's son and wrote The King's Speech when he was 2 years old.
Stone said in the court papers: "I am in fear from Mr Gooden for my personal safety, and that of those around me, including especially my children and family, as well as my friends and employees."
The judge has put a temporary restraining order in place, which bans Gooden from going within 100 yards of Stone or her children.