The coded spectrometer, a relatively new instrument, has the advantage of high signal-to-noise ratio, giving it great application potential. We report the optical design of a space-based visible coded spectrometer based on curved prism dispersion (SVCS-CPD) and further explore the design and analysis of its support structure. A static simulation and modal analysis, sinusoidal vibration mechanical analysis, and random vibration mechanical analysis were performed to demonstrate the excellent mechanical and thermal stability of the support structure. To realize rapid assembly and integration of the off-axis optical system, a point source microscope and three-coordinate measuring machines were employed. In addition, tests of optical design parameters and outdoor push-scan imaging were conducted to validate the high imaging performance of the SVCS-CPD. The results showed that the modulation transfer functions of the SVCS-CPD in the central and marginal fields of view were 0.61 at 31.25 line pairs/mm and 0.53 at 31.25 line pairs/mm, respectively. In addition, the spectral smile and spectral keystone were © 2023, The Author(s), under exclusive licence to The Optical Society of India.