Abstract: In order to solve the trajectory deflective problem of the shaft heading machine，attitude detection and control mode of the shaft heading machine in the course of driving was discussed，the rectifying controller based on fuzzy control theory was developed，the postural prediction system based on the grey－system theory was designed，and the correlation algorithm was introduced．In order to verify the relia- bility of the automatic rectifying－deviation system，the simulation experiment under laboratory conditions was carried out，and the output of the rectifying system under the simulated deflective conditions was monitored and recorded．The experimental results showed that the output of the rectifying system is in accordance with the manual operation，and the system can control position of shaft heading machine during the heading process．The successful realization of automatic rectifying－deviation system based on combined grey prediction and fuzzy control law ensured the safety and stability of the shaft heading machine．