The principle with the experimental configuration to measure both the magneto-optical Kerr and Faraday effects are given. The system is simple and is fully controlled by computer. Using the Forier transfer analysis method, the spectra of the absolute Kerr and Faraday parameters can be measured in the precision data range from 0.01° to a few hundred degrees and in the photon energy range from 1.5 to 6.0 eV. Taking for examples, the measured spectra of Kerr and Faraday effects for MnBiAl alloy thin film sample and GaP bulk sample were given. Since the Faraday rotation angle is proportional to the thickness of the sample, the data should be carefully analyzed in the situation in which the fundamental absorption edge of the magnetic sample is only determined by the Faraday spectra.