There is provided a thermoplastic elastomer composition for an air bag cover obtained by dynamically heat-treating, in the presence of a cross-linking agent, and the following components (A1), (B) and (C), wherein component (A1): a propylene-based resin, component (B): an ethylene-α-olefin-nonconjugated diene copolymer rubber, and component (C): a mineral oil-based softener, which is excellent in appearance and mechanical strength.