This paper introduces Hadamard product of centrosymmetric matrices. Such matrices are symmetric about its centre and Hadamard product is an element wise product, which is applicable in various fields of applications. This work provides an algorithm for conducting Hadamard product for centrosymmetric matrices. By using this algorithm, we able to calculate Hadamard product for centrosymmetric matrices and analysis some important fact of this product. The algorithm illustrates how the output of the Hadamard product of centro-symmetric matrices is influenced by its rank characteristics. A comparison with general product of matrices is also given in this study.