FIELD: organic synthesis catalysts. SUBSTANCE: hydrocarbon conversion-appropriate catalytic composition is prepared as follows: (i) preparation of mixture containing first and second crackingactive components, the first one being in the form of sol; (ii) extrusion of resulting mixture to form catalyst extrudates; and (ii) calcination of extrudates. The first cracking-active component is beta-zeolite with silica/alumina ratio at least 20 containing crystals less than 100 nm in size. The second one is selected from crystalline molecular sieves with pore diameter more than 0.6 nm. A method for hydrocarbon-containing feedstock conversion in presence of the above-described catalytic composition is also provided. EFFECT: raised temperature of nitrogen oxides' decomposition. 9 cl, 2 tbl, 4 ex
