There is provided a process for producing adamantane and analogues thereof, namely a hydrocarbon having an adamantane structure which process comprises isomerizing a tricyclic saturated hydrocarbon having ten or more carbon atoms in the presence of a catalyst in which one or two or more metals selected from among the metals belonging to group VIII in the Periodic Table (group 8 to 10 in the new Periodic Table) are supported on zeolite by means of an ion exchange method. It is made possible by the above process to efficiently produce adamantane and analogues thereof in the presence of a solid catalyst without the use of hydrogen chloride.