This manuscript investigates the strength reduction factor of single degree of freedom system with constant ductility performance subjected to the mainshock-aftershock sequence-type ground motions. The recorded and artificial sequence-type ground motions are used. The aftershock ground motions in sequence are scaled to have different relative intensity levels. Four hysteretic models are used to simulate the different type of structures. The effects of period, ductility factor, site condition, aftershock, hysteretic behavior and damping are studied statistically. The results indicate that the strong aftershock ground motion has more obvious influences on strength reduction factors in short period region than on those in long period region. The degrading behavior would decrease the strength reduction factor of structure with short period at a magnitude of \20 %, while it would increase that of structure with medium-long period at a maximum level of 20 %. Finally, a predictive model, incorporating the effect of aftershock, is proposed to determine the strength reduction factor in the seismic design.