We investigate the Kac-Moody algebra of noncommutative Wess-Zumino-Witten m
odel and find its structure to be the same as the commutative case. Various
kinds of gauged noncommutative WZW models are constructed. In particular,
noncommutative U(2)/U(1) WZW model is studied and by integrating out the ga
uge fields, we obtain a noncommutative non-linear sigma -model. (C) 2001 El
sevier Science B.V. All rights reserved.