This research has been made to apply the kinetic model similar to the kinetics of consecutive first order reaction to the pilling mechanism. derivation of the theoretical equations estimating each stage, investigation of the validity of this model, and investigation of the relation between the pilling-resistance and the physical properties of fiber have been carried out. The kinetic model is well coincident with the pilling mechanism described by three stages. Parameters characterizing this model are the numbers of initial potential pills such as pillable fuzz, Cfo, and the relative rate constant, K, and these parameters can be calculated from the experimental values. As the tensile stress and the loop stain of single fiber decrease, the pilling-resistance increases because the relative rate constant increases and half wear-off time(HWT) decreases.