A method for treating myocardial or skeletal muscle anoxia which occurs in coronary or post-infarct disorders or during prolonged physical activity and muscle fatigue. This method comprises the administration of a combination composition comprising (a) an alkanoyl L-carnitine selected from the group consisting of isovaleryl L-carnitine, propionyl L-carnitine or the pharmacologically acceptable salts thereof or mixtures thereof; and (b) ribose or a phosphate derivative thereof.