Abstract: Based on the dynamic tri-axial tests at low temperature, the dynamic constitutive model and its parameters of artificial polycrystalline ice are studied under stepped axial cyclic loading. It is concluded that the dynamic constitutive relation of ice can be fitted by use of the linear viscoelastic model through the experiments under various temperatures and frequencies. Dynamic elastic modulus decreases with the rise of temperature, and increases with the rising frequency. Viscosity coefficient increases with the increasing temperature, and declines with the increase of frequency. Furthermore, the influences of temperature and frequency on the dynamic parameters of ice are interpreted rationally.