In order to reduce the tooth surface deviation of spiral bevel gear in batch manufacturing,a method of tooth surface correction of spiral bevel gear based on bootstrap was proposed.Taking the same batch of small sample spiral bevel gears as the research object,a large number of tooth surface deviation data were obtained based on the statistics of tooth surface deviation detection data by bootstrap method.The mean difference surface of tooth surface was constructed by NURBS surface fitting method,and it was used as the actual machining tooth surface;the digital pre-control compensation model of tooth surface deviation was established,it was optimized and solved,and the machine tool correction parameters of batch tooth surface numerical control machining were obtained.Finally,it was verified by comparative analysis of tooth surface deviation before and after correction.The results show that the tooth surface deviation of the pinion is 76.66% lower than that before correction,which verifies the effectiveness of the bootstrap method tooth surface correction theory and provides a theoretical basis for guiding the batch tooth surface correction of spiral bevel gears.