Eat Walnuts (IMAGE) University of New Mexico Caption Professor Pribis recommends a handful of walnuts, 1 to 3 ounces, daily for increased health benefits. The benefits from the tree nut not only positively affect mood but also the cardiovascular system and can be used as a support for weight loss. Credit California Walnut Commission Usage Restrictions None License Licensed content Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert system.