Graphene kirigami (patterned cuts) can be an effective way to improve some of the graphene mechanical and electronic properties. In this work, we report the first study of the mechanical and ballistic behavior of single and multilayered graphene pyramid kirigami (GKP). We have carriedout fully atomistic reactive molecular dynamics simulations. GPK presents a unique kinetic energy absorption due to its topology that creates multi-steps dissipation mechanisms, which block crack propagation. Our results show that even having significantly less mass, GKP can outperform graphene structures with similar dimensions in terms of absorbing kinetic energy.