An le-module M over a ring R is a complete lattice ordered additive monoid having the greatest element e together with a module like action of R. A proper submodule element n of R^M is called pseudo-prime if (n : e) = fr 2 R : re 6 ng is a prime ideal of R. In this article we introduce the Zariski topology on the set X_M of all pseudo-prime submodule elements of M and discuss interplay between topological properties of the Zariski topology on X_M and algebraic properties of M. If R^M is pseudo-primeful, then irreducibility of X_M and Spec(R=Ann(M)) are equivalent. Also there is a one-to-one correspondence between the irreducible components of X_M and the minimal pseudo-prime submodule elements in M. We show that if R is a Laskerian ring then X_M has only nitely many irreducible components.