Aiming at the problems of complex processing technology, uneven deformation, and poor forming accuracy of multi-curvature positive Gaussian slewing egg-shaped shells, we propose using unidirectional loading rubber flexible medium bulging technology to improve the tube deformation distribution and enhance the processing accuracy of plastic forming of bionic egg-shaped shells. The optimization problems in the rubber bulging technology of nonhomogeneous deformation egg-shaped shells are explored by analyzing the structure and manufacturing method of egg-shaped shells. The simulation analysis and experimental verification methods are used to study the different technological parameters and forming accuracy of rubber bulging of egg-shaped shells under unidirectional loading and to master the deformation mechanism of rubber bulging of egg-shaped shell structural components under unidirectional loading. The study shows that optimizing technological parameters in unidirectional loading mode can effectively improve the uniformity of strain distribution and thickness distribution during the forming of egg-shaped shells, thus improving the processing accuracy of plastic deformation of bionic egg-shaped thin-walled parts. Furthermore, the simulation of the rubber bulging technology of the egg-shaped shell after the optimization of technological parameters is in good agreement with the experiment.