An aerothermal-radiation correction method, including: using a Gaussian surface to approximate a thermal radiation noise, performing a Fourier transform on the Gaussian surface so as to obtain a centralized spectrum of the thermal radiation noise, constructing a filter function H based on the centralized spectrum of the thermal radiation noise; performing a Fourier transform on the aerothermal-radiation degraded image f so as to obtain a centralized spectrum F, taking dot product of F and H to obtain a filtered spectrum G; and performing an inverse Fourier transform on filtered spectrum G to obtain a modulus, and acquire a corrected image. The method effectively removes background noise generated by aerothermal radiation, greatly improves image quality and image signal-to-noise ratio. The method features reduced computational complexity and a shorter operation time, and is suited for real-time processing.