Coalbed methane is an abundant form of natural gas extracted from coal beds. Coalbed methane is viewed as a cleaner energy source versus petroleum and coal combustion because methane extraction, transport and use are more efficient and less polluting. However, coalbed methane contains high amounts of CO that induce solidification during liquefaction. Therefore, CO has to be reduced below 2% to meet the pipeline transportation standards. In addition, CO capture would reduce the amount of gas emissions to the atmosphere, thus mitigating global warming. Here, we review membrane absorption, which is an advanced method for CO capture from coalbed methane, by controlling the gas and liquid phases separately during the operation process. We compare CO removal methods for various coalbed methane sources. Parameters influencing CO removal by membrane absorption are discussed to conclude that CO capture efficiency is improved by increasing the flow rate, temperature, and absorbent concentration, reducing the gas flow rate, and selecting a mixed absorbent. We also explain the principles, processes and applications of CO membrane absorption.