The effect of heat treating temperature and a phase in the p phase matrix were investigated for β-CuZnAl shape memory alloys by tension test, fatigue test, and shape memory effect test. After heat treatment at 677℃, 750℃, 800℃ and 850℃ for 10 min. respectively, static fracture stress(σ_f), fatigue fracture stress(τ_(max)) at 10＾6 cycle, and elongation(ε_f) was 24.2㎏/㎟, 17.21㎏/㎟ and 11.8%, respectively. As heat treating temperature decreased, fracture surfaces of the specimens were changed from the intergranular to the transgranular fracture mode. Especially, the α phase precipitated in the phase matrix had an effect on crack propagation and the fracture surface was characterized by dimple-like pattern when crack propagated in transgranular cracking mode. Precipitation of the α phase in the β phase matrix lowered the transformation temperature by 10℃, and about 2.5 vol.% α phase did not affect the shape memory effect examined by the bending test.