The invention discloses a non-data auxiliary frequency offset estimation method applicable to amplitude phase shift keying and relates to the technology of digital communication system receiving end processing. Frequency offset estimation and compensation are carried out on APSK signals by a receiving end. According to the method, the precision of carrying out the frequency offset estimation and compensation on the APSK signals by the receiving end is improved. The method comprises the steps of processing receiving signals by a rooted raised cosine filter and carrying out synchronization processing on the signals, wherein the synchronization processing comprises timing synchronization, frequency synchronization and phase synchronization processing. According to the method, for the frequency synchronization processing, frequency offset coarse estimation is carried out through utilization of an M&M algorithm according to a frequency range of the APSK signals, a frequency offset range is reduced, n times of frequency offset fine estimation is carried out through selective utilization of a Fitz algorithm according to a precision demand, and finally a precise frequency offset value is obtained. After the synchronization processing is carried out, judgment, constellation graph demapping and output are carried out. The invention provides an effective solution scheme for the APSK signal frequency offset estimation and compensation.