The catalytic epoxidation reaction of 1-octene with tert-butyl hydroperoxide in the presence of disilicides MoSi2,WSi2, VSi2, TiSi2, TaSi2 and HfSi2 was studied. The kinetics of this process in the presence of themost effective catalystMoSi2 was investigated. The effect of reactant and reaction product concentrations on the process catalyzed by MoSi2 was examined. The kinetic scheme was proposed and the kinetic parameters of the process were calculated. The equation for the reaction rate as well as the equation that connects the current concentrations of hydroperoxide with the reaction time and allows to calculate the theoretical kinetic curves for tert-butyl hydroperoxide consumption were derived.