This paper presents the reply for the comment made on "The Discrete Periodic Radon Transform" by A. M. Grigoryan. This comment presents a series of paper about tensor and paired transform as applied to the fast realization of two-dimensional discrete Fourier transform. The reply indicates that the claim made by A.M Grigoryan was incorrect. The contributions of T. Hsung and D. P. K. Lun are far more than that described by A.M Grigoryan.The DPRT is not only a forward transform for computing 2-D DFT. It is a complete discrete transformation method that includes efficient inverse transform.