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Addressing multipath fading and frequency offset at both transmitter and receiver ends in tropospheric scattering communication,a joint frame synchronization and frequency offset estimation algorithm suitable for tropospheric scattering was studied.Designed a new synchronous frame structure suitable for tropospheric scattering communication,it adds a cyclic PN sequence before frame synchronization information to assist in decision making,it can improve the probability of signal starting point acquisition in fading channels.Adopting a partial correlation frequency domain capture algorithm based on FFT, searching for the maximum correlation value and frequency offset index, while completing frame synchronization and frequency offset estimation.Implemented joint frame synchronization and frequency offset estimation algorithms under the influence of multipath fading and frequency offset;The simulation results show that in a scattering channel with a fading rate of 5Hz and a frequency offset of 1000Hz, the probability of correctly capturing frame synchronization information can still reach over 90% at a signal-to-noise ratio of -4dB, and the frequency offset estimation deviation is within 0.4Hz.