A bone substitute material for bone and dental surgery, includes: i) a solid support made from at least one phosphocalcic compound having free hydroxyl groups on the surface, and ii) a quantity of a mimetic peptide of human BMP-2 protein, having a sequence KX1PKX2 Z1Z2X3PTEX4SAISMLYL (SEQ ID No. 3) in which X1, X2, X3 and X4 are nonpolar amino acids, identical or different, and Z1 and Z2, identical or different, represent a cysteine or serine residue, the quantity of mimetic peptide of BMP-2 protein being covalently grafted by the N-terminal end of same to the hydroxyl groups, with a density lower than 100×10−12 mol/mm2 surface area of the solid support. The material, of which the osteoinductive properties are expressed quickly and strongly, is applicable to all fields of bone surgery. A method for producing the material with a controlled grafting density is also claimed.