In this article we have constructed and studied using the Monte Carlo and transfer-matrix techniques the simple lattice gas models of self-assembled monolayer, which consists of molecules with different orientations in the adlayer on the stepped surfaces. It was shown that in the case of adsorption of complex molecules the surface heterogeneity of stepped type leads to a great variety of ordered structures comparatively with homogeneous one. The constructed models fairly well reproduce the main features of real SAMs consisting of molecules with different orientations with respect to interface and the model ordered phases are also analogues to the structures of real SAMs. (C) 2009 Elsevier B.V. All rights reserved.