The invention provides an infrared interference imaging spectrometer based on biplane right angle reflectors. The infrared interference imaging spectrometer comprises a rotary platform, a beam splitter, a first right angle reflector, a second right angle reflector, an imaging object lens, a surface array detector and a control and information processing module. The beam splitter, the first right angle reflector, the second right angle reflector, the imaging object lens and the surface array detector are respectively installed on the rotary platform. The control and information processing module controls the rotary platform and the surface array detector and receives signals of the surface array detector. According to the invention, a static Michelson interference principle is utilized, one right angle reflector is dislocated in a direction perpendicular to an optical axis, and transverse cutting and light splitting of light beams are realized. Under a push-scan or rotation-scan mode, a space and spectrum information "data cube" is obtained.