The Collaborative International Dictionary of English v.0.48:

male chauvinist \male chauvinist\ n.
   A man with a belief in the inferiority of women; one who
   believes in or practises male chavinism.

   Syn: sexist.
        [WordNet 1.5 +PJC]

WordNet (r) 3.0 (2006):

male chauvinist
    n 1: a man with a chauvinistic belief in the inferiority of
         women [syn: male chauvinist, sexist]