In this paper, a new blind Carrier Frequency Offset (CFO) estimation algorithm for Discrete Multi Tone (DMT) system is obtained by introducing the Propagator Method (PM) in conjunction with the wellknown MUSIC based high resolution searching algorithm. Furthermore, the PM does not require the eigen value decomposition (EVD) or singular value decomposition (SVD) of the covariance matrix of the received signals; computer simulations are also included to demonstrate the effectiveness of the proposed method in comparison with other conventional methods.