This paper considers a new approach of improving the efficiency of adsorption-catalytic removal of volatile organic compounds (VOCs) from waste gases based on the use of a combined structured fixed bed consisting of a coarse-grained adsorbent-catalyst and a microfiber catalyst. Numerical mathematical modeling showed that during high-temperature oxidative regeneration of the adsorbent-catalyst, the microfiber catalyst (similar to 0.01 mm in diameter) is heated much faster than large pellets (similar to 2-20 mm in diameter) of the adsorbent-catalyst due to the significantly higher external specific surface area (similar to 500-5000 times greater). This allows one to efficiently oxidize unoxidized VOCs desorbed from the surface of the adsorbent-catalyst, thus minimizing the desorption losses and significantly increasing the degree of gas purification (up to 99%). (c) 2012 Elsevier Ltd. All rights reserved.