In order to verify the applicability of time-temperature-stress principle in tensile creep of TATB-based PBX and realize the evaluation calculation of long-term uniaxial tensile creep deformation， the conventional tensile creep experiment under constant stress but different temperatures and multistep tensile creep experiment under constant temperature of a TATB-based PBX were carried out. The tensile creep curves under constant temperature but different stresses were obtained by decomposing the multistep creep curve following Chen"s method. The coupled creep compliance master curves under reference temperature and stress （30 ℃ and 3.0 MPa） and parameters of Willianms-Landel-Ferry equation considering temperature and stress were obtained by translating and assembling the creep compliance curves using dichotomy calculation program based on the time-temperature-stress equivalence of nonlinear viscoelastic materials. The results show that the tensile creep behavior of TATB-based PBX is well described by the time-temperature-stress equivalent principle in the analyzed temperature range from 30 ℃ to 50 ℃ and stress range from 1.0 MPa to 5.5 MPa， which could be used to predict the long-term tensile creep deformation under low temperature and low stress through the short-term tensile creep tests at high temperature and stress.