A nonlinear viscoelastic constitutive model previously proposed has been modified to account for hydrostatic stress influence. The modification is achieved by incorporating the hydrostatic stress in the equivalent stress definition. The present model predicts a shift of stress envelopes along equibiaxial compressive stress direction. It also predicts different octahedral shear stress versus octahedral shear strain curves for various strain paths. These trends indicate improved agreement between the model prediction and multiaxial experiment data.