Composites based on two biocompatible compounds, namely, inorganic hydrated calcium phosphates and organic microfibrillar ribbons of cellulose Acetobacter xylinum , are prepared by aggregation in an aqueous suspension. The influence of the structural organization of the hydroxyapatite and temperature-time conditions on the formation of the composite materials of different compositions is investigated. It is revealed that the composite materials are textured and retain the crystal structure of cellulose and the structure of initial hydrated calcium phosphates. The analysis of the crystal structures allows us to propose a model of the interaction between the mineral and organic components of the composite material. In the framework of the model, the interaction is provided through the formation of hydrogen bonds with the participation of hydroxyl groups and oxygen atoms of the phosphor group of the hydroxyapatite and primary OH groups located at the (-110) and (110) faces of cellulose nanocrystals.