A cementitious matrix for Ultra-High Performance Fibre Reinforced Concrete (UHPFRC) containing the following constituents (in % mass of dry mix): a) 25 to 65 % Portland cement type CEM I; b) 25 to 70 % of Limestone filler; c) 5 to 15 % ultrafine mineral additions; d) 0 to 50 % fine sand with a diameter superior to 100 mm and lower than 5 mm. The invention also provides the corresponding UHPFRC cementitious mixture and element.