The development of materials and methods efficient for carbon capturing, methane storage, and selective separation of CO 2 and CH 4 from gas mixtures is a crucial approach to addressing the problems of these two greenhouse gases. In this regard, metal organic framework (MOF)-based composite materials are recognized as a promising class of materials, which could combine the advantages of MOFs and the other constituents to reduce their current drawbacks in the adsorption/separation systems. In this context, a series of MOF composites recently developed for CO 2 and CH 4 adsorption and their selective separation from gas mixtures are presented and discussed: MOF/carbon-based materials, MOF/Si-based composites, MOF mixed-matrix membranes, MOF/MOF, and MOF/metal oxide structures. Here, with an emphasis on the most recent signs of progress, we hope to shed a light on the MOF composites and assist future research to promote the performance of current composites and develop new MOF hybrid structures considering the proposed challenges.