The invention solves the problem of fabrication of synthetic hydroxyapatite bioceramics showing the properties similar to the materials based on natural bones.The method for fabrication of carbonate hydroxyapatite powders involves the synthesis conducted by a drop-wise addition of (NH4)2HPO4 solution in which a carbonate compound is dissolved, preferably NH4HCO3 and/or NaHCO3 in the amount of 0.05 - 0.25 M, serving as a source of CO3-2 ions as well as Na+ incorporating into hydroxyapatite structure, into an aqueous suspension of Ca(OH)2 containing the solution of a modifying element salt, preferably magnesium, manganese, sodium, titanium in the amount of 0 - 0.1 M, while maintaining pH of the reaction medium above 10 using ammonia and the amounts of the starting compounds are such to ensure Ca : P molar ratio equal to 1.55 - 1.95The obtained gelatinous suspension of amorphous, non-stoichiometric carbonate hydroxyapatite with CO3-2 , HPO4-2 ions and ions of modifying elements incorporated in the structure, is subjected to the aging process, decanted, filtered and then dried and ground which results in the powder of the grain size below 60 µm that is eventually calcined at the temperature of 300 ― 500°C.