Abstract: In this paper,the gross errors detection of a stereopair relative Orientation with the use of Simplex Algorithm of Linear Programming(i.e.∑|v_i|=Min method) is described.The result of thir experiment bas shown that this method is better than either the Data-Snooping method or the Danish method in determining the portion of gross errors when the number of gross errors is larger than one.The computer time needed for calculating the elements of relative orientation of each stereo model is the same as cmpared with the Danish method.