We describe in this paper the fabrication of two-and one-dimensional nano-structures with organic molecular beam epitaxy (OMBE) principle based on controlled self-assembly by using adsorbate-ubstrate and intermolecular interactions that are important in molecular fabrication. Cu(100) single crystal was used as substrate in fabricating molecular nanostructures. Scanning tunneling microscopy (STM) experiments confirmed that Zn-tetra-[3,5-di-t-butylphenyl]porphyrin molecules can be used to fabricate both monolayer and molecular wire on Cu(100) surface simultaneously, and the latter is arranged on the terrace edges. We herein briefly discuss the selectivity in terms of a mechanism in which the highest occupied and lowest unoccupied molecular orbitals (HOMO and LUMO) of the molecules interact with the surface.