Aiming at the problems of unstable operation and easy failure of transmission parts during acceleration and deceleration of carbon fiber winding machine with large moment of inertia, an optimization scheme of spindle operation curve based on improved Sigmoid acceleration and deceleration curve was proposed. Firstly, the quintic polynomial was used to compensate the mutation of the traditional Sigmoid acceleration and deceleration curve by constraining the velocity, acceleration and jerk of the starting point, connecting point and ending point of the curve. Then, the mathematical models of load torque, motor output power, strength and stiffness of spindle and number of winding coils were established based on the velocity and acceleration functions of the improved curve. The multi-objective optimization for the curve was carried out with the operating time of each stage as the design variables and the maximum motor output power and total operating time as the optimization objectives. Under the constraints of the number of winding coils, strength and stiffness of transmission parts and so on, the non-dominated solution set was solved by the multi-objective genetic algorithm NSGA-Ⅱ(non-dominated sorting genetic algorithm-Ⅱ), and the optimal solution was selected by the proportion selection function. Finally, through AMESim-ADAMS co-simulation, the operation effects of winding machine before and after acceleration and deceleration curve optimization were compared. The results showed that the total operating time, maximum acceleration, maximum load torque and maximum output power of the optimized winding machine were reduced by 41.7%, 75.8%, 75.5% and 72.8%, and the spindle operation curve was smoother, which verified the feasibility of the optimization scheme. The research results provide a new solution for the problem of unstable operation or transmission parts failure of rotating equipment with large moment of inertia.