A method of tracking carrier frequency in high dynamic environment is proposed for Quadrature Phase Shift Keying(QPSK) continuous wave communication of Low Earth Orbit(LEO) satellite. Using dual-loop carrier tracking mechanism，the external loop is utilized for frequency offset traction, which can quickly reduce the large frequency offset caused by the matched filter cutoff spectrum distortion; the internal loop is utilized for accurate data demodulation，which can stably track the signal containing the acceleration less than 30g. The method of acceleration compensation is adopted to solve the problem of the phase mutation of the matched filter caused by the residual frequency deviation in the millisecond interval. This method can eliminate the high dynamic carrier frequency offset quickly and accurately. When the Signal to Noise Ratio(SNR) is 10 dB，the error rate of the terminal is less than 10-5. Using digital Field Programmable Gate Array+Digital Signal Processor(FPGA+DSP) implementation framework，the method is flexible，reliable and agile for development.