The invention provides a method for reducing a peak average power ratio (PAPR) under APSK (Amplitude Phase Shift Keying) constellation diagram mapping in OFDM (Orthogonal Frequency Division Multiplexing) modulation. According to the method provided by the invention, as the amplitude of signals is limited on a time domain, when time domain signals are converted onto frequency domain constellation points, only the constellation points at an outer layer of the APSK are expanded, only the frequency domain constellation points expanding outwards are remained, and a process of time domain amplitude limitation-frequency domain selection expansion is iterated for a plurality of times. Therefore, the rate of occurring peak signals can be reduced, and the PAPR of the OFDM signals can be reduced. According to the algorithm, an expansion area and an expansion rule are designed under the APSK constellation diagram mapping, so that the error code property cannot be worsened under the APSK modulation. The method provided by the invention can be applied to an OFDM system under the APSK constellation diagram mapping, so that the effect of reducing the PAPR can be achieved well.