The advantage of mechanical metamaterials is that the properties can be improved at the macro level through reasonable artificial design at the micro level. Mechanical metamaterials are applied to solve the problems of vibration and noise in engineering applications. In this paper, a creative chiral star-shaped compositive mechanical metamaterial (CSCMM) is proposed by combining the chiral lattice structure and star-shaped honeycomb. The generation mechanism of the bandgap and the impaction of structural parameters are studied to obtain the low-frequency bandgap by single-phase materials. On this basis, the influence of star angle on bandgap generation and the variation of structure vibration mode during bandgap generation are studied. In addition, the phase and group velocities of elastic waves in chiral star-shaped compositive mechanical metamaterial are studied. Finally, the frequency response function (FRF) of the elastic wave propagating in the structure is calculated, and the result is consistent with the band diagram. Therefore, the design method of compositive mechanical metamaterial can effectively realize the improvement of property and reduce the attenuation of elastic waves, and it provides a new design idea for the vibration and noise reduction design of metamaterial.