Due to the wide spectral bandwidth of ultra-short and ultra-intense laser facility, the use of traditional spatial filter lens groups to expand the beam will cause the accumulation of chromatic aberrations of the device, which will seriously affect the quality of the terminal focal spot. In this paper, the main technology and research progress of eliminating chromatic aberration in ultra-short and ultra-intense laser facilities are reviewed, and both the advantages and disadvantages of several main schemes are compared and summarized. On this basis, a scheme for dynamic and accurate compensation of the chromatic aberration of the facility is proposed, which has been verified and used in actual engineering. This paper also analyses and prospects the development direction of chromatic aberration compensation.