Among the calcium phosphate cements, the system based on alpha-tricalcium phosphate (α-TCP) combines several interesting properties. However, these cements have their use limited to low load applications. The main objective of this study is to evaluate the influence of three different additives on the setting reaction kinetics and mechanical strength evolution of calcium phosphate cements as a function of time. The cement was obtained by mixing α-TCP powder with four different aqueous solutions containing or not containing disodium hydrogen phosphate (Na2HPO4), citric acid (C6H8O7) and/or tannic acid (C76H52O46). It was observed that two cement samples, one of them containing Na2HPO4 and C6H8O7 and another containing Na2HPO4 and C76H52O46 in the liquid phase, presented faster setting reaction and higher mechanical properties. These cements are more suitable for application as bone cement.