The reaction of benzene hydroalkylation with acetone on bifunctional catalysts has been studied and the principal features of the process have been revealed, wherein the catalysts contain a copper oxide-copper chromite binary system as a hydrogenating component and BEA, MOR, FAU, or MFI zeolite as an alkylating component. It has been found that the use of the catalyst based on the mixed copper-chromium oxide and mordenite, running the process at 150A degrees C and 3 MPa, and feedstock dilution with benzene (C6H6: C3H6O = 9: 1) facilitate increasing of the yield of cumene as a main product.