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Once the network information transmission process fluctuates, its encryption and decryption time is too long, making its transmission load beyond the optimal range. This paper designs a network information encryption method based on the idea of dual chaos of one-dimensional Logistic map and two-dimensional Tent map. First, we use time series analysis to complete the network stability analysis: each network information feature sequence will change with time. The stability of the network can be identified according to the network transmission time sequence diagram; Then, according to the stability analysis results of its time series, the deviation degree of the time series transmitted on the network is calculated. Combined with the deviation degree parameters, the network data encryption is realized by using the double chaos mutual feedback security encryption method. The experimental results show that compared with the comparison method, the encryption and decryption time of the proposed method is shorter, and the transmission load is within the optimal load range, which verifies that the method has strong reliability and high security.