An injectable aqueous composition of hyaluronic acid or one of the salts thereof, one or more polyol(s) and lidocaine is used for cosmetic purposes or for therapeutic purposes. It has improved viscoelastic rheological properties and long in vivo persistence. The polyol is chosen, for example, from glycerol, sorbitol, propylene glycol, mannitol, erythritol, xylitol, maltitol and lactitol. The particular properties are obtained by heat sterilizing the mixture.