Nonsingular HMatrices have been widely concerned because of their wide application in many fields.In this paper，by using some properties of 〖WTBX〗α〖WTBZ〗diagonally dominant matrix with a chain of nonzero elements and irreducibly 〖WTBX〗α〖WTBZ〗diagonally dominant matrix，we improved and generalized some results and gave new criteria for nonsingular HMatrices.Finally，a corresponding numerical example is given to illustrate the effectiveness of the new criteria.