The results of numerical simulation of perforation of monolithic and multi-layered targets are presented. The objects of study were monolithic, two-layer, three-layer and air gap targets made of steel 3. The influence of the placement of an additional layer on impact resistance in high-velocity impact (initial velocity was more than the ballistic limit of all targets) was investigated. The behavior of materials was described using a phenomenological macroscopic model of continuum mechanics. A modified Lagrangian method was used for numerical simulation of the perforation process. Test calculations were performed before numerical research. Good agreement on penetration depth of an ogival striker into a semi-infinite metal target was obtained. Numerical simulation found that impact resistance of the triple-layered target was higher than that of the double-layered target and monolithic targets. Post-perforation analysis showed the targets were completely perforated and the striker’s tip was slightly eroded or blunted. Duration of perforation of all targets and damage to their materials were approximately the same, but permanent deformation of additional layers was greater with a triple-layered target. This finding can be explained by a pinching effect of additional layers acting on the striker and decelerating it.