Cu-Zn-A1 alloy of one dimensional nano-structure was prepared and the structure of obtained nano-material was characterized by transmission electron microscope (TEM). It was shown that there are non-linear oscillations on the surface of Cu-Zn-A1 alloy and the consanguineous connection exists between non-linear oscillation and the growth process of one dimensional nanostructure. The diameter of one dimensional nano-structure is about 40 nm, and the ratio of length to diameter is over 40. Finally, the growth mechanism of one dimensional nano-structure was also studied.