The present invention relates generally to a method of improving the antioxidant status of an infant. More particularly, the present invention relates to a method of improving the antioxidant status of an infant by administering a mixture of natural tocopherols. The natural tocopherol mixture is an effective blend of .alpha.- and .gamma.-tocopherol. For ease of administration and improved taste, the mixture of natural tocopherols are typically delivered in vehicle which may be in the form, for example, of a tablet, capsule, liquid, and nutritional formula. The present invention also relates to a method of improving the antioxidant status of an infant by supplementing the lactating woman wherein the supplemented breast milk is fed to the infant. Additionally, the present invention relates to a method of improving the antioxidant status of a newborn infant by supplementing the pregnant woman.