Abstract: The creep tests of 316L stainless steel at 80 ℃ and of 2205 stainless steel at 20 ℃ were conducted respectively. The power-law creep model and logarithmic creep model of the two stainless steels were obtained after the tested data fitting and the stress relaxation models were deduced. The tensile creep curves and stress relaxation curves of the two stainless steels were simulated by the creep and stress relaxation models respectively. The simulated results were compared and analysed with the experimental curves. The results show that both models can describe the low temperature creep behaviour of the 316L and 2205 stainless steels well. The power-law model performed better in creep fitting and relaxation simulation.