Previous research has shown that the Expanded time-frequency OFDM (ETF-OFDM) system has good performance in anti-jamming communication. In this paper, a novel Lapped transform-based ETFOFDM system is proposed with respect to the wideband anti-jamming communication. The OFDM modulation/demodulation of the proposed system are accomplished by using Inverse modulated lapped transform (IMLT)/Modulated lapped transform (MLT) instead of Inverse discrete Fourier transform (IDFT)/Discrete Fourier transform (DFT), respectively. Compared to DFT, the basis functions of MLT have better stop-band attenuation. Benefit from this, the new system could achieve better anti-jamming performance than the ETF-OFDM system based on DFT in both without/with frequency schedule case. Simulation results show that the proposed system has better spectrum utilization and more robust anti-jamming performance than the conventional DFT-based system.