In orthogonal frequency division multiplexing communication systems, the system performance may be degraded by the effect of inter-carrier interference. In this paper, a new scheme is proposed to cancel the effect of ICI. The system performances are evaluated based on carrier-to-interference ratio and bit error rate. The simulation results show that the effect of phase error with the proposed scheme is lighter than that with Zhao's scheme. Hence, the BER performance of proposed scheme is better than that of Zhao's scheme even in a large frequency offset.