The Lost actor was accused of punching Heather Bormann in an incident outside an Ohio nightclub, and she later officially filed assault charges.
Fox claims that Bormann was lying about the incident, and that she was the one that actually became aggressive, according to TMZ.
The star is said to have missed out on work opportunities because of the media reporting of the incident, and argues that she subjected him to "public hatred, contempt, ridicule and shame".
Fox was told that he would face no official charges following the row in September.
Earlier this year, Fox said that he would like to take on more comedy roles.