The method comprises chemical modification of an optionally metallized polymer surface, for example a polycarbonate surface or a polymethacryllate surface functionalized with amino groups, said surfaces being optionally metallized, by treating said polymer surface with a mercaptoalkanoic acid or the salts or derivates thereof. The surfaces obtained by said method may be used as solid supports for immobilizing biomolecules, such as nucleic acids, proteins or membranes.