The kinetic parameters of disperse dyeing of polyethylene terephthalate (PET) sheets modified by a nanostructured hyperbranched polymer were investigated in terms of dyeing rate constant, time of half-dyeing, diffusion coefficient, and activation energy of the diffusion. The results were compared with those of pristine PET. The surface morphology, surface structure, and thermal properties of modified PET sheets were also studied by atomic force microscopy (AFM), attenuated total reflectance infrared spectroscopy (ATR-FTIR), and differential scanning calorimetry (DSC). Results indicated that the crystallinity and glass transition temperature of modified samples were decreased compared with that of the pristine PET. The diffusion coefficient of dye molecules increased by increasing temperature of dyeing. The highest diffusion coefficient was obtained for the modified PET sample containing 2 wt% hyperbranched polymer while pristine PET sheet showed the lowest one. The activation energy of diffusion of dye into the modified PET sheets was lower than that of the unmodified PET.