Dependencies of the damping scaling factor (DSF) on variables 1including duration, moment magnitude, fault distance, and local site conditions were examined from 408 acceleration time histories. Then the DSF model was derived 2that can be used to capture the influence of duration and moment magnitude. It is shown that the influence of 3duration and moment magnitude on DSF is significant, but that of 4fault distance and local site conditions is weak. Furthermore, the DSF is heteroscedastic, where the variance is a function of the damping ratio. The significant influence of 5duration and moment magnitude can be captured by inclusion of a linear magnitude term in the DSF model. The heteroscedasticity can be reflected in the standard deviation of the DSF model. The results can be directly applicable to the attenuation model for displacement response spectra of 5% damping ratio and can also provide the reference for the revisions of seismic design codes.