The traditional satellite navigation anti-jamming high-precision algorithm is only suitable for processing stable interference signals, which is difficult to adapt to the multiple disordered pulsed flicker interferences environment. Based on the idea of interference covariance matrix reconstruction, this paper proposes a new high-precision anti-interference algorithm that is suitable for multiple flicker interferences environment and carries out simulation analysis. Firstly, the direction of interferences is calculated by using compress sensing with one snapshot. Secondly, the interference plus noise covariance matrix is reconstructed. Thirdly, antenna array beamforming with one snapshot is realized by using an adaptive beam constraint algorithm. Finally, the new algorithm forms nulls in the direction of interferences and forms a beam in the direction of satellite navigation signals. Compared with the traditional algorithm, the new algorithm calculates anti-interference weight with only one snapshot and is suitable for fast time-varying multiple flicker interferences environment. The simulation results show that the new algorithm can effectively reduce multiple flic-ker interferences and maintain a beam in the direction of satellite navigation signals to ensure the observation accuracy meets the requirements of high-precision satellite navigation.