Abstract <p>The irradiation creep in metals with cubic crystal lattices at low stresses (below the yield strength) was studied within the framework of multiscale modelling. The modelling combines theoretical (dislocation theory of crystal plasticity, diffusion theory, anisotropic theory of elasticity, chemical kinetics) and computational (molecular statics, molecular dynamics, object kinetic Monte Carlo method) approaches. The values of the rate and modulus of irradiation creep were determined in metals with bcc (Fe, V) and fcc (Cu) crystal lattices containing rectilinear dislocations with the Burgers vectors 1/2〈111〉, 〈100〉 (bcc), and 1/2〈110〉 (fcc), uniformly distributed over possible families of their slip systems. The obtained calculated and theoretical values of the irradiation creep rate and modulus are in good agreement with the results of reactor experiments.</p>