Abstract: A composition for in vitro use as a culture medium or in vivo use as a pharmaceutical composition or a medical device, capable of accelerating the differentiation of stem cells into cells with a chondrocytic phenotype and of restoring the original trophism of chondrocytes, is described. The composition comprises, in combination, at least one proteolytic enzyme, at least one growth factor and at least one from a sugar, an amino acid, a vitamin factor, a vitamin, a nucleotide and a nucleoside, in a physiologically acceptable carrier or diluent. A method of differentiating stem cells in cells having a chondrocytic phenotype, the cells obtained by the method and their uses, for example in human or animal cell therapy, for example by CBMP (Cellular Based Medicinal products) are also described.