A process for the continuous production of cumene hydroperoxide (CHP) by oxidizing cumene in a liquid phase in a reactor in the presence of an oxygen-containing gas, wherein the oxygen content of the whole gas fed into the liquid phase in the reactor is adjusted to 22 to 50 mol % and the oxidation is carried out under the condition that: (1) the CHP production per unit volume of the reaction fluid in the reactor is at least 22 kg/m.sup.3/hr, (2) the oxygen content of the exhaust gas from the reactor is 2 to 10 mol %, or (3) the oxygen-containing gas is fed into the reactor by the use of a sparger whose aperture pitch is at least twice the aperture diameter. The process enhances CHP production per unit volume of the reaction fluid in the reactor, thus downsizing the reactor permitting required CHP production or enabling increased CHP production in an existing reactor.