Well, yes, it is normal to have dark circles under your eyes after you have the running. As we know that there are many reasons which can lead to dark circles, such as lack of sleep, hereditary reasons, even stress, fatigue. So when you have running, it will just make you feel tired, and stressed. At that moment, it will just affect your eyes, leading to dark circles. To treat it, there are some ways you can have a try. You can use some cool cucumber slices. As we know that cucumber slices have long been used to reduce puffiness and refresh the appearance of skin around the eyes, providing a fast "pick-me-up" for tired and puffy eyes. But on the other hand, they can also be good for the dark circles. So just put a slice over each eye, extending over the darkened area. Remember that you should do this everyday, coupled with lying down for 10-15 minutes. And that can be effective.