Double perovskite Sr2FeMoO6 was synthesized rapidly by microwave sintering method. The crystal structure of the sample was investigated by XRD. It shows that the as-synthesized sample is Sr2FeMoO6 with tetragonal crystal structure and I4/mmm space group. The test of electrical transport properties shows that the sample exhibits typical semiconductor behavior in the temperature range of 80~300 K. The influence of the dosage of the sample, light irradiation sources, and time on the efficiency of degradation have been studied. The results show Sr2FeMoO6 exhibits excellent degradation activity for dye Acid Red B, the decolorization rate is close to 100% under proper conditions. Meanwhile, a mechanism related to the process of degradation is proposed.