The Anger Management star said he and his girlfriend Brett Rossi, a porn star, tied the knot in Iceland and published a picture of himself and his supposed new wife.
The pair were photographed outside what appears to be the former French consulate in the capital Reykjavik.
The building was the location for a 1986 Cold War Summit between Ronald Reagan and Mikhail Gorbachev.
Sheen tweeted: "This is the house ware M Gorbachev R Reagan did some epic. it's also where S and I GOT MARRIED! c #RumorMilUhPede (sic)."
The actor and Rossi have been dating for a few months but they have not informed their Twitter followers about whether the marriage is real or not.
The surprise wedding seemed less likely to have occurred after Rossi wrote: "Hahahahahahahahahahaha epic."
Sheen has five children and has previously been married to Brooke Mueller, actress Denise Richards and Donna Peele.
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