<p>Vibration suppression has a great interest in acoustic or elastic metamaterial engineering which has a wide range of potential applications and requires the use of lightweight structures and materials to achieve multiple band gaps with multiple generation mechanisms. This paper proposes a rotational triangular lattice composed of the external ligaments of a triangular lattice and a rotational triangle, and explores different band gaps and their generation mechanisms. The effect of the geometric parameters, such as the rotation angle and the slenderness ratio, on the band gap range was considered. By comparing the elastic wave band gaps with the vibration transmission responses, the different band gap generation mechanisms of the rotating triangular lattice were verified. Adjusting the geometric parameters of the rotating triangular lattice, a wide band gap can be achieved, which is used to suppress the propagation of elastic waves. This work provides a new structural design that can achieve multiple band gaps with different generation mechanisms, which is conducive to solving the vibration suppression problem of lightweight passive structures.</p>