Aiming at the problems of low machining efficiency and large machining vibration of band sawing machine under variable sawing depth in domestic metal sawing process,a feed speed optimization method based on constant sawing force constraint was proposed.Based on the dynamic model of sawing force,with the optimization goal of improving the machining efficiency of cylindrical parts and reducing the maximum sawing force,and with the constraints of constant sawing force range,critical sawing force,machine feed speed,and machine power,the feed speed optimization model was established,and the non dominated sequencing genetic algorithm based on elite control (NSGA-II algorithm) was used to optimize the feed speed during sawing.The example verifies the validity of the feed speed optimization model with constant sawing force constraint,the goal of constant sawing force constraint is achieved,the machining efficiency is improved,and the maximum sawing force is reduced.Finally,the dynamic analysis of the saw blades transient response was carried out through the ANSYS finite element analysis software,and the machining stability of variable feed speed sawing was verified.