The invention relates to a sterilized composition comprising at least one hyaluronic acid or biologically acceptable salt thereof, alone or in a mixture, and magnesium ascorbyl phosphate, in a ratio [HA]/[MAP] by mass of the amount of hyaluronic acid or salt thereof [HA] to the amount of magnesium ascorbyl phosphate [MAP] of greater than or equal to 1, the amount of magnesium ascorbyl phosphate being between 0.001% and 1% by weight, relative to the total weight of said composition, with an elastic component G′ which is retained or improved after sterilization and is between 5 and 400 Pa. It also relates to a composition of the invention which further includes dimethyl sulfone, to methods for producing same, and to uses thereof.