It is believed that blackbody and bremsstrahlung are completely different phenomena. However, their spectral shapes are somewhat similar to each other. We demonstrate that synchrotron radiation spectra, which are relativistic magnetic bremsstrahlung, can be approximated by blackbody radiation through Tsallis entropy under the dulite gas approximation at Tsallis non‐extensive parameter q = 1.05. The error of mean square is 4 × 10−6 within the range of 5 × 104 eV without adjusting any parameters. This approximation will be applied to more complex bremsstrahlung such as an X‐ray tube. Copyright © 2012 John Wiley & Sons, Ltd.