The applicability of the temperature wave method to thermal contact conductance measurements is investigated. The theoretical analysis shows that the amplitudes and the phase angles of the reflected and the transmitted temperature waves at the contact depend on the contact conductance, the ratio of the thermal conductivities, and the thermal diffusivities of the two solids. Measurements for stainless-steel/aluminum specimen pairs confirm the theoretically predicted dependence. The accuracy of the method is comparable to that of the steady flow method. Since periodic heat flow and small temperature gradients are used, the method has some advantages over the steady flow method and, in particular, some special features of contact conductivity phenomena may be studied.