Abstract: The tests of frequency sweeping and dynamic displacement sweeping at different temperature for the butyl viscoelastic material were conducted. Based on RT model, M-RT model was proposed to consider the influences of temperature, frequency and dynamic displacement. The comparison between the experimental and predicted results shows that the proposed model in the study can preferably well describe the dynamic constitutive behavior under broad temperature, broad frequency, broad dynamic displacement and predict stress-strain hysteresis loops curves considered the influences of temperature, frequency and dynamic displacement.