Abstract: A hierarchical tree topology of orthogonal frequency division multiple access (OFDMA)-based multi-hop cellular network was proposed to reduce energy assumption in resource allocation. The timing of transmitting and receiving for the nodes in odd and even layers is defined. The objective is to reduce the total system transmitting power, and the objective function can be applied in odd and even timeslots. The most important one among the constraints is link proportional fairness. A suboptimal resource allocation scheme was proposed to minimize total system transmitting power with lower computation complexity. Simulation results shown that, compared to traditional resource allocation scheme such as OFDM-TDMA, the proposed scheme reduced total system transmitting power by 1.5 dB while keeping proportional fairness among wireless links.