A new objective procedure for the orthogonal rotation is proposed. First, one of the difficulties inherent in the normal varimax method-we obtain many negative large factor loadings in a certain kind of initial factor matrices-is pointed out. Second, the principles of our method by the notion of geometric vector are described. Third, three results by our method are shown together with the values which are determined by the subjective and the normal varimax methods, and our solution is shown to be more appropriate than the normal varimax solution as long as subjective result is taken as the criterion.