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In a strong interference environment, considering the data spilling of the Analog to Digital Converter(ADC) in satellite digital channelizer will severely degrades the system performance. This paper proposes a method of strong interference suppression for broadband satellite communication. Firstly, strong interference detection, extrication, and phase amplitude adjustment techniques are adopted in digital field. Then, the strong interference cancellation is performed in the analog field. Finally, the cancellation effect is confirmed by employing detection feedback. The design approaches and implementation procedures for the extraction filter in digital field are provided. Moreover, according to engineering practice, a filtering method based on mathematical morphology is presented to eliminate the effects caused by noise floor fluctuation in broadband satellite communication. Theoretical investigation and simulation results demonstrate that the proposed method can suppress the strong interference effectively. [ABSTRACT FROM AUTHOR]