The gear insertion process is extensively utilized in the domain of internal gear machining, owing to its distinct advantages in scenarios where the operational space for tools is constrained. This method has garnered considerable attention in recent years. The optimization of both structural and process parameters of the gear shaping cutter is crucial for machining quality and the precision of gear manufacturing. Initially, for the novel double-point contact internal gears, a dedicated tooth profile design and meshing surface derivation method for gear shaper cutters is proposed. the tooth profile of the shaper cutter is designed, and the equations governing the tool tooth shaping are derived. Subsequently, a three-dimensional solid model of the shaper cutter is developed. Utilizing DEFORM finite element simulation, an analysis is conducted on the primary cutting force and temperature characteristics associated with the single-tooth cutting process under standard structural conditions. Furthermore, the impact of various parameters, including the tool's front angle, back angle, and cutting speed, on the primary cutting force and temperature is examined. An orthogonal experimental design methodology is employed to establish sample points, and a quadratic polynomial prediction model for the primary cutting force and temperature is formulated through the response surface method to validate its accuracy. The influence mechanism of the angle-cutting speed coupling effect on cutting performance is revealed. Ultimately, predictions regarding the minimum primary cutting force and temperature are made. A multi-objective genetic algorithm is then applied to optimize the tool's structural and process parameters, aiming to minimize both the primary cutting force and temperature. The findings indicate that, among multiple parameters, the interaction between cutting speed and rake angle exerts the most significant influence on the primary cutting force and temperature. Within an acceptable margin of error, the optimized structural and process parameters can substantially reduce the primary cutting force and temperature during the cutting process. The research results provide theoretical and methodological references for improving the machining accuracy of double-contact gears and selecting optimal cutting tool parameters.