Matthew Fox -- I Never Beat Any Women

Sources directly connected to Matthew Fox tell TMZ ... the actor has never beaten a woman in his life, contrary to the allegations made by his "Lost" co-star Dominic Monaghan.

As you know, Monaghan tweeted the allegation, claiming Matthew "beats women. not isolated incidents.often ..."

Our sources say Fox and Monaghan have not spoken for years, and they never had any sort of blowout argument so it's baffling to Fox as to why Dominic would go on such a rant.