Orthogonal frequency division multiple access (OFDMA) is a promising technique for high data rate communications in future cellular systems. Since frequency resources are universally reused in every cell in a system, a typical OFDMA system tries to maximize the spectral efficiency. Users located near the cell-edge tend to have the weakest signal strength. So they might experience severe inter-cell interferences (ICIs). In this paper, we propose a sequential frequency reuse (SqFR) that reduces ICIs by a sequential sub-channel allocation. By giving more power to sub-carriers allocated to cell-edge users, our SqFR significantly enhances the performance of cell-edge users. The performance of the proposed SqFR is investigated via the analysis and simulations. Simulation results show that proposed SqFR improves the performance of cell-edge users in an OFDMA system under both homogeneous and heterogeneous traffic conditions. In References [9--11], FFR for Mobile WiMAX is considered, which suggests time division of the available total bandwidth with different FRFs, i.e., cell-edge bandwidth with FRF of 3 and cell-center bandwidth with FRF of 1. So, downlink subframe is split into two parts: one for