In the processing of carbon fiber–reinforced plastics interference-fit bolted joint assembly, the pre-tightening force has a significant effect on the stress redistribution. Choosing appropriate process parameters can effectively control the stress and improve the structural strength. This study aims to perform an analytical model formulated by an elastic semi-inverse method to predict the compressive stress distribution affected by pre-tightening force. Considering Poisson’s effects, the stress distribution around a bolt combining an equivalent spring stiffness is analyzed. The model takes the interference-fit amount and the clamping force into account to calculate the redistributed stress. Through comparison with the FEA model, the results show that the deviation of the analytical model is less than 10%, and a parametric study by the analytical and FEA methods has been used to investigate the influence of interference-fit percentage and clamping force on the stress distribution.