Nonsingular $H$-matrices has a wide range of applications in computational mathematics, physical mathematics, biology, matrix theory and control theory, etc. How to specify nonsingular $H$-matrices effectively has always been paid attention. In the paper, by applying $k$-partition of matrices index set, a set of determinate conditions for nonsingular $H$-matrices are given, which improve and generalize some recent related results. The effectiveness of these determinate conditions in this paper is illustrated with numerical examples.