A catalytic cracking catalyst is provided which has high cracking activity and with which the production of FCC gasoline having a high octane number can efficiently proceed without lowering a gasoline yield. Also provided are a process for producing the catalyst and a method of the catalytic cracking of a hydrocarbon oil with the catalyst.The catalyst for catalytic cracking of a hydrocarbon oil comprises a crystalline aluminosilicate, a binder, and a clay mineral in a certain proportion, wherein the content of sodium and potassium therein is 0.5% by mass or lower in terms of oxide (Na2O and K2O) amount, the content of at least one rare earth metal therein is 3.0% by mass or lower in terms of oxide (RE2O3, wherein RE is a rare earth element) amount, the [RE2O3+Na2O+K2O]/[crystalline aluminosilicate] ratio by mass is 0.1 or lower, and the catalyst has a xenon adsorption amount, as measured at an adsorption temperature of 25° C. and a partial xenon pressure of 650 torr, of 2.20×1020 molecules or more per g of the catalyst. Also provided are a process for producing the catalyst and a method of catalytic cracking of a hydrocarbon oil with the catalyst.