Carbon dioxide (CO₂) capture and separation is an important field of research as we seek to reduce the effects of climate change. Because of its porosity, resilient crystallinity, high adsorption capacity, and affinity for CO₂, cyclodextrin-based metal-organic frameworks (CD-MOFs) have emerged as attractive materials for carbon capture. This paper gives an overview of CD-MOFs and their applications in CO₂ capture and separation. Several studies have been conducted to synthesize and characterize CD-MOFs for CO₂ capture. The causes for the high binding affinity of CO₂ in CD-MOFs were discovered through mechanistic studies on CO₂ adsorption. Furthermore, CD-MOF modifications have been carried out in order to improve the sorption capacity and selectivity of CO₂ adsorption. Meanwhile, several researchers reported on the use of CD-MOFs for gaseous CO₂ membrane separation. The paper also highlights the current gaps in CD-MOF research and future outlooks in carbon capture and separation using CD-MOFs.