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To solve the problem of North-seeking that need artificial leveling and time-consuming issue,the total least squares estimate north Angle is adopted,combined with the Multi-position North-seeking model. To ignore less error terms of in the North-seeking process,gyroscopic drift can be converted to measurement error,the tilt error ,the shafting error and setting error can equal to coefficient matrix error. According to the actual data contains outlier,the Robust Total Least Squares method is proposed. Introducing the IGGⅢ equivalent weight function to eliminate the influence of gross error data,thus find the precision of algorithm. The results of emulation and experimental examination show that the algorithm can weaken the effect of outlier and can realize the whole attitude to find north.