The features of cumene dehydrogenation to alpha-methylstyrene on unique porous ceramic catalytic converters having the composition [Re,W]/gamma-Al2O3(K,Ce)/alpha-Al2O3 and [Fe,Cr]/gamma-Al2O3(K,Ce)/alpha-Al2O3, obtained using self-propagating high-temperature synthesis and the sol-gel method, have been studied. It has been established that at an optimum temperature of 625 degrees C, the rhenium-tungsten-containing system has approximately 1.5 times higher catalytic activity than the iron-chromium system. On the Re-W-containing catalytic converter at the optimum temperature, the cumene conversion is similar to 71 mol %, the alpha-methylstyrene yield is similar to 77 mol % of theoretical, and the alpha-methylstyrene content in the products is similar to 35 mol %, with productivity for the desired product being similar to 7.4 g/(h g(act.comp.)). The degree of catalyst coking for 6 h of the experiment did not exceed 5 wt %.