The best foods for supporting memory and brain function are those that encourage good blood flow to the brain. Research suggests the following foods may help keep your brain sharp and improve your cognitive function, memory and alertness. 1) Broccoli, cabbage and dark leafy greens. Enjoy salads, wraps and stir-fries. 2) Walnuts. Can be added to salads or oatmeal or just eaten on their own. 3) Berries and cherries. Can be eaten fresh as a snack or added to oatmeal or baked goods. 4) Omega-3 fatty acids. Can be found in seafood, flaxseeds and fatty fish.