The invention discloses a kind of pharmaceutical composition for the treatment of oxidative stress, said composition comprises the pure basically pterostilbene chemical compound and the physiologically acceptable carrier for the treatment of effective dose.Pterostilbene is used with the amount of every kilogram of about 2.5mg of experimenters body weight between about 10mg.The invention also discloses the method for the working memory that strengthens the experimenter, this method comprises the pure basically pterostilbene chemical compound of using effective dose, and wherein enhancing of experimenters working memory and curative effect are every kilogram of about 10mg pterostilbene of experimenters body weight.