A continuum polycrystal plasticity model was used to estimate the influence of a threshold stress for grain boundary sliding on the relationship between macroscopic flow stress and strain rate for the aluminum alloy AA5083 when subjected to plane strain uniaxial tension at 450°C. Under these conditions, AA5083 deforms by dislocation glide at strain rates exceeding 0.001s −1 , and by grain boundary sliding at lower strain rates. The stress–strain rate response can be approximated by ε˙=Aσn, where A and n depend on grain size and strain rate. We find that a threshold stress less or equal to 4MPa has only a small influence on flow stress and stress exponent n in the dislocation creep regime (a threshold stress of 2MPa increases n from 4.2 to 4.5), but substantially increases both flow stress and stress exponent in the grain boundary sliding regime (a threshold stress of 2MPa increases n from 1.5 to 2.7). In addition, when the threshold stress is included, our model predicts stress versus strain rate behavior that is in good agreement with experimental measurements reported by Kulas et al. [M.A. Kulas, W.P. Green, E.M. Taleff, P.E. Krajewski, T.R. McNelley, Metall. Mater. Trans. A 36 (2005) 1249].