Using the theory of classical electromagnetic field and the concept of the effective (supper-) exchange field, the magneto-optical effect and its temperature dependence in paramagnetic, ferromagnetic, ferrimagnetie and antiferromagnetic media are deduced. Theoretical analysis shows that Faraday magnetooptical effect has the anisotropy, and Faraday rotation is depend not only linearly on the magnetization Min paramagnetic and ferromagnetic media or the sublatbee's magnetization Mi in ferrimagnetie and antiferromagnetie media, but also on the high-order terms of M or Mi.The (super-) exchange interaction is an importaut factor leading to the complicate temperature dependenees of magneto-optical effect and its anisotropy. The theory interprets the experimental results satisfaetorily.