Mechanical metamaterials represent a new class of architected materials that exhibit exceptional mechanical properties and unique responses such as high stiffness, extreme strength-to-weight ratios, and enhanced energy absorption capacity, achieved through rationally designed geometries instead of compositions. However, conventional manufacturing methods, such as casting, forging, and machining, are not feasible for producing such metamaterials because of their internal intricate features. Additive manufacturing (AM) materialises three-dimensional (3D) digital models into actual parts by adding materials in a layer-by-layer process. The layer-by-layer fabrication mode of the emergent additive manufacturing (AM) technology enables the creation of parts displaying intricate geometries with exceptional accuracy. Metallic metamaterials have been successfully produced using AM at different length scales, all of which demonstrate excellent mechanical properties. Moreover, owing to the fast cooling rate, additively manufactured metals possess non-equilibrium microstructural features that are sensitive to process parameters, resulting in superior intrinsic material properties. This Ph.D. research is proposed to investigate the mechanical properties of mechanical metamaterials fabricated by metal AM processes and explore design approaches in improving the mechanical performance of auxetic metamaterials.Firstly, this study investigated a specific type of metamaterial, namely, auxetic metamaterials with a two-dimensional (2D) hexachiral design. Hexachiral auxetic metamaterials can exhibit unconventional properties, such as a negative Poisson's ratio that can achieve superior mechanical properties, including energy absorption and indentation resistance. The thickness ratio between the wavy ligament and centre ring, which is denoted by t * , has a critical influence on the isotropic mechanical properties of the hexachiral structures. This work aims to investigate the effects of t * on the isotropic auxeticity of wavy hexachiral