Fruits and vegetables can be a healthy addition to your dog's treat rotation. Many fruits are safe for dogs and offer excellent nutritional benefits. For example, dogs can eat a few types of melons, but make sure to remove any seeds and avoid feeding any part of the rind, which may result in an obstruction to the digestive tract. Dogs can eat red, ripe tomatoes, but the green parts of a tomato (including the stem and leaves) can contain dangerous toxins.