Abstract: A composition of hydraulic cement is disclosed, having low water demand, high strength and low fragility. The cement comprises finely ground Portland cement clinker, calcium sulfate and a dry modifier containing an organic water reducing component in a weight percent ratio of 91 to 97:2 to 7:0.085 to 4, respectively. The clinker particles comprise three fractions, I, II and III chemically bonded with the organic water reducing component and having respective particle sizes: I--0.05 to 10 mkm in a weight percent of 15.3 to 34.3; II--10.1 to 30 mkm in a weight percent of 37.2 to 77.5; III--30.1 to 80 mkm in a weight percent of 4.2 to 19.6; plus a fraction IV--having a particle size more than 80 mkm in a weight percent less than 4.9 and free of the modifier. The calcium sulfate comprises a fraction of particles of a size 0.5 to 15 mkm, free of the modifier. The dry modifier is chemically bonded with the three clinker fractions in the following weight percent quantities: I--0.045 to 1.7; II--0.02 to 2.