Effectiveness of four possible methods (cryogenic method, membrane processes, pressure swing adsorption (PSA) and absorption method) is considered. Particular attention is paid to the economic aspect and the state of art of the gas separation techniques. It is concluded that the PSA method bf separation of methane from mine gases is the most attractive. A two-column process was employed, using carbon molecular sieves as adsorbents. To simulate mine gas two-component mixture of methane and nitrogen was used. Column operation consisted in cycling, according to the following scheme: 1) cocurrent pressurization I - pressure equalization, 2) cocurrent pressurization II - pressurization with feed, 3) cocurrent desorption I - waste gas (nitrogen) release, 4) cocurrent desorption II - pressure equalization, 5) countercurrent desorption - production of gas enriched with methane. Basing on the earlier experience in modelling of equilibrium separation of two-component gas mixtures in the PSA process, numerical procedures were worked out to describe sequential behaviour of the columns. Additionally, a program to simulate the whole process is presented. It is used to analyze the influence of the selectivity of methane adsorption in comparison with nitrogen, concentration of methane in the feed gas, pressure of the feed, pressure at succesive stages of production and waste gas release on the concentration and the amount of the product gas - methane. The PSA process is shown to be effective in the separation of fractions of high concentration of methane. The model indicates the range of parameters to optimise the process of enriching mine gases in methane, thus limiting expensive experimental investigations.