When evaluating spatial straightness,there are only complex geometric criteria to determine whether the algorithm has constructed or found the minimum area of the measurement point set.In order to solve this problem,the general discrimination method for the spatial straightness based on matrix was studied.Based on the analysis of the relative orientation and relative distance between the spatial linear measurement points set and the boundary of the minimum area,the model of the minimum area of the spatial straightness was established;the basic mathematical logic form of the minimum area and its inference which was easier to solve were analyzed;these logic problems were transformed into equivalent general discriminant method by using the matrix properties.The feasibility of the proposed method was verified through an example.