Hyperuniform materials, which possess unique structural and physical properties, have attracted increasing attention in biology, physics and engineering. The preponderance of known hyperuniform materials consisting of discrete tailored building blocks such as colloidal particles, and bi-continuous hyperuniform structures have not been systematically investigated. In this talk, we present an integrated procedure for designing hyperuniform two-phase material microstructure via an inverse optimization reconstruction method by controlling the long range and short range order via corresponding spatial correlation functions. We numerically generate a wide spectrum of virtual materials and apply a novel lattice-particle method to study their mechanical behavior. We find that hyperuniform materials possess superior mechanical properties over their non-hyperuniform counterpart, i.e, one with same short-range order but lacking of hyperuniformity.