Carbon capture and storage (CCS) has been recognized as one approach for mitigating CO₂ emissions, especially from large fossil-fuel combustion units, such as those used for electric power generation and other industrial processes. The existing and emerging membrane technologies for the separation and capture of CO₂ from point source emissions are discussed in this article to provide an understanding of the present technological development and the challenges. With regards to CO₂ capture, the membrane processes are classified into two types, which are gas separation membrane and gas absorption membrane. The gas separation membrane operates on the principle of preferential permeation of mixture constituents through the pores of the membrane, resulting in that one component diffuses through the membrane faster than the others. The gas absorption membrane contactor combines the advantages of chemical (high selectivity) and membrane absorption. Strategies on further development of these two processes are proposed. For CO₂ capture using membranes, more efforts are expected in both research and commercialization.