Fourier transform spectrometer shows great advantages in the field of quantitative remote sensing. Nonlinear correction is an important part to ensure the accuracy of on-orbit radiometric calibration. The FY-4/GIIRS located in the stationary orbit has the characteristics of uneven sunlight exposure and severe daily changes in the background temperature of the instrument. A nonlinear correction algorithm based on instrument spectral responsivity correction is derived. By measuring a set of standard reference radiation source spectral quantification values and spectral responsivity, fitting the correction coefficient of the primary term of spectral responsivity. After the ambient temperature of the instrument changes, the correction coefficient of the response rate constant term can be recalculated using the correction coefficient of the first-order term, the spectral value and the spectral responsivity of the black body observation, and the nonlinear correction coefficient of the instrument under any instrument background temperature can be obtained. Verified by the ground thermal vacuum (TVAC) calibration tests data before the launch of the instrument, the algorithm is simple and effective. In each ambient temperature test, the radiometric calibration accuracy in the observation range of 180-320 K has been improved significantly.