  The Kardar-Parisi-Zhang (KPZ) equation with infinitesimal surface tension,
dynamically develops sharply connected valley structures within which the
height derivative is not continuous. We discuss the intermittency issue in the
problem of stationary state forced KPZ equation in 1+1--dimensions. It is
proved that the moments of height increments $C_a = < | h (x_1) - h (x_2) |^a >
$ behave as $ |x_1 -x_2|^{\xi_a}$ with $\xi_a = a$ for length scales $|x_1-x_2|
<< \sigma$. The length scale $\sigma$ is the characteristic length of the
forcing term. We have checked the analytical results by direct numerical
simulation.
