The invention describes a new calcium phosphate cement powder, whose composition can best be described over the Ca/P molar ratio range of 1.35 to 1.40, most preferably 1.39, and whose two components were prepared by wet chemical synthesis procedures. One component is chemically-synthesized, bi-phasic alpha-TCP (Ca3(PO4)2, 95 wt%) + HA (Ca10(PO4)6(OH)2, 5 wt%) powder, while the second component is again a chemically-synthesized, single-phase DCPD (CaHPO4·2H2O) powder. A setting solution (Na2HPO4·2H2O) is used to form a self-setting calcium phosphate cement from the powder mixture. This cement can be used as bone filler or bone substitute in applications, which require higher rates of resorption.