In a vibration propagation suppressing apparatus, each of fluid machine elements includes: a first volume chamber; a second volume chamber coupled to the first volume chamber through an orifice; an intermediate forming the orifice; and a coupling rod. A first end portion of a first volume chamber is connected to an intermediate adjacent thereto, an intermediate of the first volume chamber is connected to the intermediate of the adjacent fluid machine element through intermediation of an elastic body, and the first volume chamber and the second volume chamber are connected to each other so as to be alternately arranged in a vibration propagation direction. A fluid machine element on a first stage has an intermediate connected to the base surface, and each of the plurality of fluid machine elements has dispersion relationships matching with each other, and has a band gap on the dispersion relationships.