In Orthogonal Frequency Division Multiplexing (OFDM) system there is a random phase fluctuation of local oscillators both at the transmitter and receiver that is known as phase noise (PHN). This PHN causes the performance degradation in OFDM system. To compensate for the critical effect of PHN, several pilot based PHN estimation methods are developed in the literature with the cost of system bandwidth. In this paper, a blind PHN compensation method is proposed to abate the effect of common phase error (CPE) in OFDM system caused by PHN to retain the system bandwidth with reduced calculation complexity. The performance of the proposed method is demonstrated by several computer simulations.