To establish a failure criterion for hydroxyl-terminated polybutadiene(HTPB)propellant which considers the effect of temperature and strain rate. The time-temperature shift factor of HTPB propellant was obtained by stress relaxation tests at different temperatures(233.15, 253.15, 273.15, 293.15, 323.15, 343.15 K)of HTPB propellant. Based on cumulative damage theory and linear viscoelastic theory, a failure criterion of propellant with time-temperature shift factor α_T was established. The damage parameters of failure criterion were obtained by combining the uniaxial tensile test data at different temperatures and different strain rates. The failure criterion was used to predict the damage evolution characteristics and critical failure time of propellant material at different temperatures and strain rates. Compared with the experimental results, it is found that the relative error predicted by the failure criterion is less than 20%, indicating that the failure criterion can predict the failure condition of HTPB propellant in the range of low temperature 233.15-273.15 K at tensile speed of 2-500 mm·min^-1 and in the range of high temperature 293.15-343.15 K at tensile speed of 0.5-100 mm·min^-1.