Optical filter is an optical element that can select a certain wavelength range from white light, and is widely used in photography and detection systems. Its main parameters are central wavelength and bandwidth. In this paper, a Michelson interferometer is used to measure the characteristic parameters of narrow-band filter based on the Fourier transform principle. The measurement results are compared with the traditional diffraction grating method. It is found that the measurement done by Michelson interferometer does not need the calibration of the Mercury lamp and the results are more accurate than the traditional diffraction grating method. Moreover, the present method could improve students^, ability of solving practical problems by using multi-disciplinary knowledge comprehensively.