We construct noncommutative extension of U(N) principal chiral model with
Wess-Zumino term and obtain an infinite set of local and non-local conserved
quantities for the model using iterative procedure of Brezin {\it et.al}
\cite{BIZZ}. We also present the equivalent description as Lax formalism of the
model. We expand the fields perturbatively and derive zeroth- and first-order
equations of motion, zero-curvature condition, iteration method, Lax formalism,
local and non-local conserved quantities.Comment: 14 Page