The phononic crystals are periodic structures consisting of two or more material phases. When the elastic wave is propagating along the phononic crystals, the obvious feature is that the elastic wave is suppressed due to Bragg scattering in the band gap, but can be transmitted without loss in the pass band. In this paper, a new type of gyromass phononic crystal structure was proposed and designed. In addition, the effects of different structural parameters on the pass band of the gyromass phononic crystal were studied, which are verified by numerical simulations based on the structure with finite unit cells.