Non-cytotoxic and bioactive tetracalcium phosphate/nanomonetite/calcium silicate-phosphate cements were prepared by simple mechanical mixing of starting powder precursors based on acid or basic tetracalcium phosphate/nanomonetite mixtures with 1 or 5 wt% addition of precititated amorphous or crystalline calcium silicate phosphate phases. The small additions (1-2 wt%) of crystalline CaSiP phase caused about a two-fold rise in the compressive strength of cements (up to 70 MPa) with simultaneous preservation of short setting time (around 5 min) and refinement of nanohydroxyapatite particles in microstructure. The results verified a close pH to body fluids and enhanced steady state concentrations of Ca2+, silicate and phosphate ions during the soaking of acid than the basic composite mixtures in physiological solution. No cytotoxicity or suppressing in proliferation activity of osteoblasts were revealed after the addition of CaSiP phases to cement powder mixtures. The ALP activity of osteoblasts during the first two days of culture on all composite systems was significantly higher than on pure tetracalcium phosphate/nanomonetite substrates. The superior enhancing in ALP osteoblast activity was found on cements with amorphous CaSiP glass component (even at low contents), which confirms excellent in vitro osteoblast activity on composites and their possible utilization as bone cements in reconstruction medicine.