Singular value of matrices is an important topic in matrix research,among which,the lower bound estimate of singular value of matrices is important in many fields,as a result,the lower bound estimate of singular value of matrices is universally focused.This paper makes further research on the lower bound of singular value and improves Theorem 1 and Theorem 2 of Huang Tingzhu s Lower Bounds Estimate for the Smallest Singular Value of Matrices and gives corresponding proof and numerical examples.