A method of eliminating spurious echoes in SAR imaging comprises a step Etp1 of defining the SAR imaging parameters, a step Etp2 of calculating the spectrum of the signal received, in each distance bin, of a zone of interest 51, a step Etp3 of filtering the spectra in each distance bin, a step Etp4 of SAR imagette 51 formation and a step Etp5 of concatenating the SAR imagettes 51 to form the final SAR image.