Mathematical models have been developed to analyze and predict the physical absorption performance of CO 2 through hollow fiber membrane contactors with different membrane module arrangements. The membrane contactor module is operated under partially wetted and counter-current flow mode. Four membrane module arrangements including single-stage module (SM), in parallel two-stage module (IP-TM), in series two-stage module with separated liquid flow (IS-TMS) and in series two-stage module with combined liquid flow (IS-TMC) are considered. The difference in module arrangement results in different degree of membrane wetting and concentration profiles along the module. The simulation is performed at the liquid flow rates in a range of 5.67–15.75 m 3/s. At low liquid flow rate (up to 7.5 × 10 −5 m 3/s) at which the penetration of liquid into membrane pores is less than 7.6%, the total resistance is dominated by liquid phase. The absorption performance shown in term of contact area can be ranked as SM > IS-TMC > IP-TM > IS-TMS. For high liquid flow rate, the gas phase resistance becomes comparable to the liquid phase resistance. The IS-TMS shows highest absorption performance followed by IP-TM, IS-TMC and SM, respectively. The effects of important design parameters including gas composition (CO 2–CH 4), split ratio of liquid ( α), the fraction of CO 2 removal at the middle and exit of stage ( x M , x exit ), liquid temperature and number of stage on required contact area are also investigated.