A method for increasing the synthesis and accumulation of beta-alanylhistidine dipeptides, with a simultaneous increase in the accumulation of creatine, in bodily tissues of humans and animals is described. This is accomplished by causing an increase in the blood plasma concentrations of beta-alanine and creatine, or the blood plasma concentrations of beta-alanine, L-histidine and creatine, by the ingestion or infusion of a composition including beta-alanine, beta-alanine and creatine, or beta-alanine, L-histidine and creatine, or active derivatives thereof.