In order to reduce the influence of position error in every standstill-position of turntable on north-seeking precision,the work process of the Dynamically Tuned Gyro (DTG) multi-position north seeker and the principle of the azimuth arithmetic are introduced,and the relation between position error and north-seeking precision is analyzed. The mathematical model between position error and north seeking error is gotten through error theory and partial derivative principle. The analyses of theory and results of experiment show that,in the condition of the same north-seeking points,the less position error is,the higher north-seeking precision is; in the condition of the same position error,the more north-seeking points are,the higher north-seeking precision is. According to the theoretical analyses,two error compensation methods are presented.