Spectral Efficient Frequency Division Multiplexing (SEFDM) is a non-orthogonal multicarrier transmission scheme for bandwidth compressing, which is introduced the inter carrier interference (ICI) by multiplexing overlapped carriers. However, the non-orthogonal ICI significantly affects the design of SEFDM receivers and the error performance will be a seriously degradation as the bandwidth compressing increases. In this paper, a method to mitigate the ICI for the detection of SEFDM receivers is proposed. The proposed method is to reconstruct and cancel the ICI caused by truncating orthogonal signal in the SEFDM system. The binary error ratio (BER) performance of the SEFDM receiver with ICI compensation is evaluated. Simulation results show that the proposed method can mitigate the ICI efficiently with a extremely low complexity, and achieves a better BER performance for high bandwidth compressing factors.