Abstract: The combination of orthogonal frequency division multiplexing (OFDM) and bit-interleaved coded modulation (BICM) is known as an efficient technique to combat frequency selective fading. Significant performance degradation can result from carrier frequency offset ,which caused Inter Carrier Interference(ICI). Based on Maximum Likelihood（ML）algorithm , an itertive frequency offset estimation algorithm for BICM-OFDM system is proposed. This algorithm makes full use of the information provided by decoder,and has two steps. Firstly, the initial estimation employs the conventional ML algorithm,then, the rudimental frequency offset can be obtained by hard-decision information provided by BICM decoder. The precision could be improve by the feedback information that provided by iterative decoder of BICM. Through the wideband HF channel,the simulation results show that, in the range between 0 and 0.2,the proposed algorithm efficiently estimates frequency offset after three iterations. The proposed algorithm improves the accuracy of frequency offset estimation with low SNR and improves the range of frequency offset estimation compared with the conventional ML algorithm.