  The conditions for which the no boundary proposal may have a classical
realization of a continuous change of signature, are investigated for a
cosmological model described by FRW metric coupled with a self interacting
scalar field, having a noncommutative phase space of dynamical variables. The
model is then quantized and a good correspondence is shown between the
classical and quantum cosmology indicating that the noncommutativity does not
destruct the classical-quantum correspondence. It is also shown that the
quantum cosmology supports a signature transition where the bare cosmological
constant takes a vast continuous spectrum of negative values. The bounds of
bare cosmological constant are limited by the values of noncommutative
parameters. Moreover, it turns out that the physical parameters are constrained
by the noncommutativity parametres.
