A series of composites based on a commercial polystyrene-block-polybutadiene-block-polystyrene (SBS) copolymer sample and clays was prepared using isopropyl tristearoyl titanate (TTS), a coupling agent. The composites with the surface modified clays present lower temperature of mixing and torque than the analogous composites prepared without coupling agent. No side reactions were observed after processing and the thermoplastic and mechanical properties of the unmodified SBS are retained after compounding with the surface modified inorganic fillers. In addition, elongation at break and heat deflection temperature increase with respect to the starting SBS. Flexible and efficient modeling of the material properties for on-demand technical requirements is suggested.