A study has been made of the influence of the conditions of synthesis and activation on the physicochemical properties of palladium zeolite-containing catalysts and their activity in the oxidation of CO and hydrocarbons. I has been established that the introduction into the matrix of the amorphous aluminosilicate of up to 30 wt.% zeolite NaY makes it possible to produce granules of a zeolite-containing support that possess sufficiently high mechanical strength. The optimum degree of dispersion of the supported palladium (predominant particle size 15-30 Angstrom) is achieved by calcination of the catalyst at 300 degrees C (3 hr) and reduction in hydrogen (500 degrees C, 3 hr). Increase in the acidity of the support (with an identical degree of dispersion of the supported metal) lowers the activity of the catalyst through an increase in the electron deficiency of palladium and a change in its adsorption properties.