3D printing is one of the new polymer processing technologies that has transformed the field of manufacturing for product development with complex geometries. The Additive Manufacturing (AM) is a process that consists in production of parts from a 3D digital design by successive deposition of layers of material. One of the printing methods of this type is stereolithography (SLA) which by the deposition of thin layers while being cured with UV forms the part from a specific design. A great capability of additive manufacturing (AM) is the production of cellular capillary geometries on a scale required in applications such as personal protection equipment (PPE). Thermoplastic elastomers (TPEs) are flexible polymers, which are compatible with the additive manufacturing process. Thermoplastic polyurethane (TPU) is a material that mitigates impact damage, one of its special applications is in sports safety gear, like the inside of American football players’ helmets. The evaluation of the mechanical behavior of capillary cell geometries with thermoplastic polyurethane (TPU) material denotes the damping capacity of this novel structure made with additive manufacturing (AM) technology. The characterization and development of this novel structure has a promising application in personal protection equipment (PPE), as in devices for hip protection in elderly people and also bicycle helmets.