On the basis of the study of the viscoelastic theory of composite materials, the constitutive model of H-K linear solid creep is established. Using the finite element theory and the user material subroutine UMAT provided by ABAQUS, the H-K linear solid creep model was redeveloped, and the creep performance of GFRP uniaxial tensile was simulated and analyzed. Relevant material parameters were obtained by fitting the tensile creep acceleration experiment, and the creep curves of the theoretical model and simulation model were compared and verified. The results show that the creep law of the theoretical model and the simulation model is in good agreement with the experimental data, and the material constitutive model can predict the long-term performance of FRP.