A new carrier frequency offset estimation scheme in the orthogonal frequency division multiplexing (OFDM) system is proposed. In non-data-aided synchronization systems, maximum likelihood estimation (MLE) is often used for carrier frequency offset acquisition , but it could not correct the accumulated residue frequency offset caused by sampling clock offset and other factors. After simple comparisons at frequency domain, the proposed scheme takes correction to OFDM symbols and makes compensation for MLE algorithm. By sharing the same phase calculation block with the acquisition step, it keeps very low computational cost and reduces the implementation complexity. The system performance was investigated in additive white Gaussian noise channel.