SUMMARY: The stress-relaxation behavior of a high density polyethylene solid was investigated using a nonlinear viscoelastic model in which two nonlinear parameters such as the anharmonicity in elastic response and the plastic deformation are introduced into a generalized Maxwell model. The determination of the nonlinear parameters demands the transient modulus data under a constant rate of deformation. The nonlinear viscoelastic model developed from the tensile behavior was found to predict the stress-relaxation behavior in the nonlinear region.