Serum-free media for growth and proliferation of chondrocytes and mesenchymal stem cells in culture are provided. A serum-free medium for growth of chondrocytes includes a serum-free composition comprising FGF-2, linoleic acid, ascorbic acid, B-mercaptoethanol, transferrin and dexamethasone. Further, the composition comprises EGF, PDGFbb, insulin and albumin. A method for growing chondrocytes in a serum free medium comprising the compostion is also provided. Also provided for mesenchymal stem cell growth, is a serum-free medium which includes a composition comprising FGF-2, LIF, SCF, pantotenate, biotin and selenium and method, therefore.