In order to improve the forming quality of TA1 titanium alloy thin-walled rivet bulge, the installation process parameters of blind rivets were optimized by response surface method and genetic algorithm algorithms, and the influences of interlayer thickness H, core rod stroke S, interlayer aperture D and core rod speed V on bulge diameter L and core rod tensile force F were analyzed by Box-Behnken design method. Then, the regression models were established to predict the bulge diameter L and the core rod tensile force F were analyzed. Furthermore, the compression parameters of TA1 titanium alloy thin-walled rivet bulge were optimized by genetic algorithm with the optimization goal of minimizing the core rod tensile force, while ensuring that the bulge diameter was not less than 6 mm. The results show that the interlayer thickness H has the most significant effect on the bugle diameter L, followed by the core rod stroke S and the interlayer aperture D, while the core rod speed V is not significant. The four factors have the significant influences on the core rod tensile force F. The optimal parameters of H=4 mm, S=2.9 mm, D=4.22 mm, and V=5 mm·s-1  for the forming quality of TA1 titanium alloy thin-walled rivet bulge are obtained. The numerical simulation results obtained by DEFORM-3D also confirm that the optimized process parameters combination ensures the bulging quality.