  In this paper we will show that a Lagrangian, Lorentzian surface $M^2_1$ in a
complex pseudo space form $\widetilde M^2_1 (4c)$ is pseudo-isotropic if and
only if $M$ is minimal. Next we will obtain a complete classification of all
Lagrangian, Lorentzian surfaces which are lightlike pseudo-isotropic but not
pseudo-isotropic.
