Aiming at the problem that the suppression of noise Amplitude-Modulation (AM) jamming has poor real-time performance, a step-by-step algorithm is proposed based on FFT frequency offset fast correction for the noise AM jamming suppression.Firstly, the FFT-based frequency offset fast correction algorithm is used to accurately estimate the center frequency of noise AM jamming, and the calculation amount is effectively reduced under the premise of ensuring the estimation accuracy.Then, the estimated interference center frequency is used to demodulate the signal and the interference by a demodulation formula, and the bilateral spectral distribution of the signal and the interference is obtained.Finally, cancellation is carried out twice in steps to the demodulated signal in the frequency domain, and the signal is recovered in the time domain, thereby suppressing of the noise AM jamming is implemented.The simulation analysis shows that the algorithm can effectively suppress noise AM jamming under the premise of significantly reducing the computational complexity.