Abstract: Let A and B be positive definte matrices,then there is the Minkowski's Ineequality among the determinants  of  A,B  and  A+B,i.e. (det(A+B))    ≥(detA)  +(detB)¹. In this paper we generalize the inequlity above to another class of matrices.Our results imply the Minkowski's Inequlity.