CO_2 has been identified as the major contributor to global warming and climate change. Reducing the release of CO_2 into the atmosphere is very urgent. CO_2 capture by adsorption in porous materials has been determined as one of the most potential ways. Among different porous adsorbents, metal-organic frameworks (MOFs) have been evaluated as promising gas capture adsorbents due to their giant pore volume and tunability. This paper aims to review the research progress of CO_2 capture by Metal-organic Frameworks (MOFs). Multiple modification methods of MOFs for improvement on CO_2 adsorption capacity and selectivity are described. Regenerability of modified MOFs and the stability of MOFs on CO_2 adsorption when other gaseous impurities coexist are briefly introduced. The application of MOFs materials as adsorbents to real gas sources is prospected as well.