  In this paper, we are concerned with the dynamical behavior of the stochastic
nonclassical parabolic equation, more precisely, it is shown that the inviscid
limits of the stochastic nonclassical diffusion equations reduces to the
stochastic heat equations. We deal with initial values in $H^{1}_{0}(I)$ and
$H^{2}(I)\cap H^{1}_{0}(I)$. When the initial value in $H^{1}_{0}(I),$ we
establish the inviscid limits of the weak martingale solution; when the initial
value in $H^{2}(I)\cap H^{1}_{0}(I),$ we establish the inviscid limits of the
weak solution, the convergence in probability in $L^{2}(0,T;H^{1}(I))$ is
proved.The results are valid for cubic nonlinearity.
  The key points in the proof of our convergence results are establishing some
uniform estimates and the regularity theory for the solutions of the stochastic
nonclassical diffusion equations which are independent of the parameter. Based
on the uniform estimates, the tightness of distributions of the solutions can
be obtained.
