Applying the techniques of nonabelian duality to a system of Majorana fermions in 1+1 dimensions, invariant under a nonabelian group OL(N) × OR(N), we obtain the level-one Wess-Zumino-Witten models as the theory. This makes nonabelian bosonization a particular case of a nonabelian duality transformation, generalizing out previous result for the abelian case.