Shift-frequency jamming is an effective jamming to the Linear Frequency Modulation (LFM) radar. However, the feature of carrier frequency offset of the traditional shift-frequency jamming may be used to identify the jamming signal. So a new method is proposed to hide or subtract the feature of the traditional shift-frequency jamming in this paper. For the purpose of hiding or subtracting the carrier frequency offset, the pulse width of jamming signal will be truncated with a proper magnitude. Furthermore, the new method can also disturb original conversion relationship between carrier frequency offset and the frequency shifting of the jamming signal to reduce the ability of identifying false target. Compared with the traditional shift-frequency jamming, the new method has pulse width mismatch between the jamming signal and the echo. But the loss of the mismatch is acceptable. The new method is testified with the theory analysis and simulation results.