A point-depletion code is developed based on the Chebyshev Rational Approximation Method (CRAM). The code has two burnup libraries, a detailed burnup library and a simplified burnup library. The code is coupled with the transport system. The fixed flux irradiation and decay problem, as well as the JAEA benchmark for light water reactors, were calculated and compared with international well-known codes. The results show that the accuracy of the atom number density is equivalent to that of ORIGEN2 in the calculation of fixed flux irradiation and decay problem. The results of pin cell and assembly cases agree well with HELIOS1.11 and the reference solutions.