Carbon capture technologies have become one of the research hotspots in the process of achieving carbon peaking and carbon neutrality goals. Currently, carbon capture technologies mainly involve absorption , adsorption and membrane separation, etc. The membrane separation depends on the gas permeability difference. It holds advantages such as energy saving, high efficiency, ease of operation, and absence of secondary pollution, leading to its rapid development in recent years. Over the past few decades , although a variety of different carbon capture membrane materials have been reported in the literature with CO2 separation performance far exceeding the Robeson upper bound, only a few membrane materials have been applied in industrial processes or are being considered for industrial applications. In fact, many membrane studies have been tested on a laboratory scale with small membrane areas. There are few reports on the practical application of membrane separation. This paper combines the industrial CO2 separation or capture process to introduce the application of commercial membrane or experimental research membrane, reviews the experimental progress and engineering application cases of membrane separation technology for biogas decarbonization and flue gas carbon capture, and puts forward suggestions for the fiuture development direction of membrane separation carbon capture, considering the existing pmblems at the present stage.