Mmatrix is widely used in mathematical physics， cybernetics， electric system and so on. In recent years， the bound estimates for the minimum eigenvalue of nonsingular Mmatrix have become an important topic. The upper and lower bounds for the minimum eigenvalue of irreducible nonsingular Mmatrix are given according to that the similar transform does not change the eigenvalue of a matrix. The estimating formula are easier to calculate since the estimated results only depend on the entries of Mmatrix. Numerical example illustrates that the new inequalities improve the existing related results.