In this study, the viscoplastic mechanical behavior of CFRP angle-ply laminates was analytically investigated. Based on experimental observations, a viscoplasticity model with overstress was used. This model additively decomposes the total stress into equilibrium stress and overstress. An orthotropic plasticity model (Hill model) was used for the equilibrium stress, and Lion’s model was employed for overstress. A lamina-level plane stress model was developed and used for the laminate analysis. A return-mapping algorithm with the backward Euler method was used to solve the elastoplastic problem of equilibrium stress. The Newton-Raphson technique was used to solve the resulting system of algebraic equations. The model qualitatively describes the strain rate effect, stress relaxation behavior, and hysteresis behavior during the loading-unloading process.