We demonstrate a novel tempo-spatial mixed-modulation Fourier-transform infrared imaging spectrometer. The static interference channel based on a stepped micro-mirror contributes a compact system with high stability. The instrument functions in two spectral bands ranging between 3.7-4.8 μm and 7.7-9.3 μm, and the spectral resolution of the dual-interference channels achieves 51.5 and 4.1 cm −1 , respectively. The instantaneous field of view is 0.15 mrad, and the working F/1.93 enables high optical throughput. The optical design and tolerance are presented with experimental investigation results, showing attractive potential in remote sensing application.INDEX TERMS infrared imaging spectrometer, fourier-transform, tempo-spatial mixed-modulation, stepped micro-mirror, optical design