To improve the estimation precision of the carrier frequency offset in a multipath fast fading environment, the performance of the frequency offset tracking algorithm using a pilot subcarrier was studied extensively. Comparing with the frequency offset tracking algorithm based on a cyclic prefix, a frequency offset tracking algorithm using a pilot subcarrier can not only derive better frequency offset tracking performance in the AWGN channel, but also obtain exact frequency offset estimation in multipath fast fading channels. The algorithm using a pilot subcarrier therefore is more suitable for frequency offset tracking in the multipath fast fading channels.