In the paper results of testing of building and technical properties of High Performance Concretes (HPC) based on the Rapid-Hardening Portland cement compositions with complex chemical admixtures are shown. It was observed, that strength of developed concretes after 2; 7 and 28 days of hardening is respectively 54.4; 60.1 and 80.9 MPa, what gives the reason to determine these materials to Rapid-Hardening and High Strength Concretes. The modern concretes based on the Rapid-Hardening Portland cement compositions are characterized by better construction and technical properties, which provide durability of constructions in different conditions. Кеу words – Complex chemical admixtures, Rapid-Hardening Portland cement compositions, High Performance Сoncrete (HPC), Self-Compacting Concrete (SCC), building and technical properties.