Short-term sudden Phase Shift Keying (PSK)communication has the characteristics of good concealment and high channel utilization, which is widely used in military and civilian fields. By amplifying and limiting the modulation signal to stabilize its amplitude in a certain range, basing on the principle of phase-locked loop to obtain the local carrier synchronized with the PSK signal is the most commonly used carrier recovery method. However, nonlinear processing of the received PSK signal will cause a sharp decline in signal-to noise ratio of modulation signal, resulting in an increase in bit error rate. It affects the carrier phase tracking accuracy, brings uncertainty to frame synchronization signal generation and code element calculation uncertain. In response to the problems of this method, based Hilbert transformation, an adaptive PSK signal demodulation method is proposed to ensure that the carrier recovery operation is not affected by data signal amplitude. The method does not reduce signal-to-noise ratio of PSK signal. Compared with traditional method, the algorithm can adaptive adjust the signal amplitude and has the advantages of rapidly carrier wave tracking, reliable frame synchronization demodulation and accurate of code element sampling.