Due to the lack of large scale technology of infrared focal plane arrays and the conflict between the wide field-of-view and high resolution for a single aperture infrared detection system, an infrared imaging system with wide field-of-view and high resolution based on compression sensing was designed. The system consists of the objective lens and the relay lens. Firstly, the imaging objective can image a scene with wide field-of-view and high resolution. Secondly, the relay lens images the image surface of a single image modulated by a spatial light modulator. Finally, the scene image received by detector arrays can be restored by image reconstruction algorithm. The design results show that the working wavelength of the system is 3.8‒4.8 μm, and the objective lens has large numerical aperture of F/1.999. The field-of-view is ±16°, and the pixel number can reach 1280×1024. The pixel number of the relay lens is 640×512 with a good matching with the detector array. Comparing to the current single aperture infrared detection system, the designed system has the characteristics of the wide field-of-view, high resolution, and simple and compact structure, and has wide potential application in the field of aerial remote sensing.