On fixed optical path difference, interference intensity of four steps in an interval of quarter of wavelength is achieved by moving mirror step of λ/4 for Michelson wind imaging interferometer (MWII) with large optical path difference, wide field, chromatic compensation and thermal compensation. In this way, the information of velocity, air pressure and temperature for aerosphere can be achieved. In this course, the error of fixed optical path difference, step error and tilting of the moving mirror will affect the results. To better meet the actual application and engineering for MWII, the tolerance of the error for tilting of the moving mirror is discussed in the range of allowance precision, the method of the error is derived, and the curves of the relationship between the temperature, velocity and the tilting of the moving mirror are simulated by computer. This work has a great meaning on the theory research, capability improvement, engineering of MWII and will be useful for the application of Michelson interferometer on the passive measurement of the wind field in the upper atmosphere.