In this study, three types of cellular metamaterials with negative/zero/positive Poisson's ratio and vibration isolation effects were devised and fabricated based on 4D printing of shape memory polymers. The compressive properties and energy absorption capacity of three cellular metamaterials at variable temperatures were evaluated by finite element simulations and compression experiments. To explore the application possibilities of 4D printed cellular metamaterials in deformable structures, shape recovery experiments were carried out, and the results showed that the three types of cellular metamaterials exhibited a high shape recovery rate. The vibration modes and vibration isolation capabilities of 4D printed cellular metamaterials were investigated for three types of cellular metamaterials with negative/zero/positive Poisson's ratio. In addition, based on the deformation reversible capability of the structure, the vibration isolation capability of three cellular metamaterial structures was investigated under different deformation stages. The results demonstrate that the cellular metamaterials with zero Poisson's ratio possess superior vibration isolation capability compared to negative or positive Poisson's ratio cellular metamaterials at different deformation stages by a comprehensive analysis. The methods and conclusions presented in this study will guide the design of functionalized cellular metamaterials with high energy absorption, strong vibration isolation, and autonomous deformation ability.