The Collaborative International Dictionary of English v.0.48:

Braveness \Brave"ness\, n.
   The quality of state or being brave.
   [1913 Webster]

WordNet (r) 3.0 (2006):

braveness
    n 1: a quality of spirit that enables you to face danger or pain
         without showing fear [syn: courage, courageousness,
         bravery, braveness] [ant: cowardice, cowardliness]