  In this paper we present the noncommutative Bianchi Class A cosmological
models coupled to barotropic perfect fluid. The commutative and noncommutative
quantum solution to the Wheeler-DeWitt equation for any factor ordering, to the
anisotropic Bianchi type II cosmological model are found, using a stiff fluid
($\gamma=1$). In our toy model, we introduce noncommutative scale factors, is
say, we consider that all minisuperspace variables $\rm q^i$ does not commute,
so the simplectic structure was modified.
