For the angle sensitivity of snapshot imaging chips and imaging optical components, a snapshot spectral imaging system based on field compression was designed. The system consisted of a front field compression system, an aperture, a rear imaging lens group and a spectral imaging chip. Through Zemax optical design of the front optical system, the field of view of ±10° could be compressed to ±3° in the range of 450 nm~800 nm, and the maximum wave difference was less than a quarter wavelength. The rear lens group was designed to correct chromatic aberration and spherical aberration of the optical system. The RMS radius of each field of view of the whole optical system was close to the pixel size of the array detector, and the relative distortion was less than 2.138%. Finally, the feasibility of the field compression optical system was verified by experiments, and the imaging system was used to image targets with different color letters and location targets. The results show that the central wavelength of red R is 610 nm, the central wavelength of green G is 500 nm, the central wavelength of blue B is 460 nm, and the central wavelength of red ground and green ground is 613 nm and 517 nm, respectively, which further verifies the accuracy of the system.