In this paper, a downlink resource allocation (RA) optimization problem is investigated in heterogeneous cellular network (HCN) which is based on power domain -nonorthogonal multiple access (PD-NOMA) by considering coordinated multi-point (CoMP) technology. To assess the performance of the considered system a novel RA optimization problem is suggested. In order to solve the proposed optimization problem an iterative algorithm based on difference of concave functions (DC) method is applied. In each iteration the transmit power and subcarrier are updated separately and the iterative algorithm is continued until convergence. After applying the DC method, in order to solve the power allocation problem interior point algorithm is utilized, and to solve the subcarrier allocation problem the mesh adaptive direct search (MADS) algorithm is used. In simulation results, the effectiveness of the system model and optimization problem is investigated. As illustrated, by applying CoMP technology the performance of the system is improved by approximately 16%.Index Terms-Power domain -non-orthogonal multiple access (PD-NOMA), coordinated multi-point (CoMP), radio resource allocation (RA), difference of two concave functions (DC) approximation.