The multi-spectral temperature measurement is a radiation-temperature measurement method with great potential, especially in the absence of information on the emissivity spectrum of the measured object. In this paper, the photo-elastic modulation interference technology is used to collect radiation signals and the accelerated NUFFT algorithm is used to restore the spectrum of the collected interference signals. Accurate temperature measurement is obtained using the multi-spectral temperature measurement method and the standard black body served for verification. Results show that photo-elastic modulation has the advantages of short acquisition time of interference signals, large spectral range, and is a valuable new method. For future work, further in-depth study, which will provide a new method for temperature measurement in special occasions will be considered.