Provided is an infrared polarization interference imaging spectrometer based on a double-cycle stepped phase reflector, relating to the technical field of infrared polarization imaging spectral measurement instruments, and solving the problem of the simultaneous acquisition of the polarization information, the image information, and the spectral information in the existing target scene, and the micro-miniaturization and integration of a polarization imaging spectral instrument. The infrared polarization interference imaging spectrometer includes a collimating mirror, a four-channel polarizer,a four-channel imaging mirror, a beam splitter, a plane reflector, a double-cycle step phase reflector, a relay imaging mirror and an area array detector. The optical field coupling between the four-channel polarizer and the four-channel imaging mirror, and the double-cycle stepped phase reflector realizes the modulation of image field polarization and interference, so that a four-channel polarization interference image of the target scene is obtained, the polarization, the image and the spectral information of the target scene can be obtained through one-time scanning, and the imaging spectrometer is small in size, light in weight, simple in structure, high in integration level, high in measurement speed, and multiple in information quantity.