Spectral detection was a crucial method for identifying the types and compositions of the substance. The concave grating was the key element of a spectrograph when a concave grating was used as an element of a spectrograph. The detection results of the imaging quality are directly influenced by the concave grating. The methods of affecting the image quality were named aberration correction and resolution improvement, respectively. The research progress of the aberration correction and the resolution improvement in spectrograph manufacture is stated. For each scheme of the aberration correction and the resolution improvement, the skills and characteristics are summarized, and the conditions for the aberration correction and the resolution improvement are pointed out. Finally, the possible development directions of spectral detection based on the concave grating in the future prospect.