The catalytic activity of modified zeolites in selective oxidative dehydrogenation of cyclohexane has been studied. It has been established that polymetallic zeolite catalyst, namely, CuZnCoCr-clinoptilolite (0.5% Cu2+, 0.2% Zn2+; 0.1% Co2+; 0.1% Cr3+) manifests the highest activity in the reaction under consideration. The kinetic scheme of the reaction mechanism has been proposed, and a kinetic model of the process has been developed on the basis of stepwise mechanism schemes. The numerical values of the kinetic parameters are calculated.