The atom structure models of two kinds of quasicrystal in Zr-base amorphous alloys were set up by using the conjugate structure model of quasicrystals. The effects of alloying elements on the crystallization behavior of Zr-base amorphous alloys were investigated by recursion method. The results show that two kinds of quasicrystal -Zr6Ni, Ni6Zr clusters are exist in Zr-base amorphous alloys, and alloying elements (Ag, Pt, Pd, Au) occupy the sites of Ni ( or Cu) in the quasicrystal phase, and that increase the interaction of neighbor atoms, which explains the fact of alloying elements (Ag, Pd, Pt, Au) promoting the stable growth of the quasicrystal phase.