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In this paper,we present an energy calibration method based on steep Compton edges of the laser Compton scattered (LCS) photon energy spectra.It performs consecutive energy calibration in the neighborhood of certain energy,hence improves calibration precision in the energy region.It can also achieve direct calibration at high energy region (several MeV) where detectors can only be calibrated by extrapolation in conventional methods.These make it suitable for detectors that need wide-range energy calibration with high precision.The effects of systematic uncertainties on accuracy of this calibration method are studied by simulation,using the design parameters of a LCS device-SINAP Ⅲ.The results show that the SINAP Ⅲ device is able to perform energy calibration work over the energy region of 25-740 keV.The precision of calibration is better than 1.6％ from 25 to 300 keV and is better than 0.5％ from 300 to 740 keV.