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In an orthogonal frequency division multiplexing (OFDM) system, a time and frequency domain least mean square algorithm (TF-LMS) was proposed to cancel the frequency offset (FO). TF-LMS algorithm is composed of two stages. Firstly, time domain least mean square (TD-LMS) scheme was selected to pre-cancel the frequency offset in the time domain, and then the interference induced by residual frequency offset was eliminated by the frequency domain mean square (FD-LMS) scheme in frequency domain. The results of bit error rate (BER) and quadrature phase shift keying (QPSK) constellation figures show that the performance of the proposed suppression algorithm is excellent.