The invention discloses a rotary Fourier transform interference imaging spectrometer, which includes a front collimation objective, a cube corner reflector, a beamsplitter, a rear imaging objective, a detector and a control and processing module, aims to reduce the light energy loss of a target, and has the characteristics of high luminous flux and detection sensitivity. The traditional rectilinear motion scanning manner of a moving mirror is substituted by the rotary scanning manner of the beamsplitter or the cube corner reflector, so as to avoid series of technical difficulties brought by precise rectilinear scanning of the moving mirror; a lateral shear interferometer based on the Michelson interference principle is adopted, and the characteristic of common path is obtained, so that the interference effect cannot be influenced even if the beamsplitter slightly shakes during the rotation; a planemirror in the traditional Fourier transform imaging spectrometer is substituted by the cube corner reflector, so that the problem brought by the inclined planemirror is avoided; therefore, the stability, reliability and vibration and impact resistance of the instrument are improved, and the structure of the spectrometer is more compact.