In order to investigate the effect of alloying elements on mechanical properties of η 0 -Sn-Cu alloys, the effect of Zn-doping on the structural stability, elasticity, electrical and thermodynamic properties of η 0 -Cu 6 Sn 5 intermetallic in Sn-Cu alloys have been calculated by first-principles calculations. The results show that the Zn-doped η 0 -Cu 6 Sn 5 are thermodynamically and dynamically stable. The doped phase is the most stable when Zn replaces Cu1 site. The bulk modulus and shear modulus of η 0 -Cu 6 Sn 5 with Zn-doped Sn1 site are the highest. When Zn replaces Sn, the stiffness is stronger than that when Zn replaces Cu, and the stiffness order is Zn-Sn > Zn-Cu > η 0 -Cu 6 Sn 5 . Compared with other doping sites, the 3D surface configurations of elastic modulus of Zn-Sn1 η 0 -Cu 6 Sn 5 are the largest. In addition, Zn doping improves the fracture toughness and chemical bond strength of the material. The thermal conductivity and electron thermal conductivity of η 0 -Cu 6 Sn 5 also increased.