If it is shin splints, as per your picture, the first step is to stop running for a bit and to ice the area to reduce inflammation. To be perfectly frank, the pain you're feeling is due to injury, and continuing to operate despite the injury is courting greater damage. This is also important because stress fractures are sometimes mistaken for shin splints, and you definitely do not want to keep running on one of those.
Outside of that, stretching can sometimes help:
Gently stretch your Achilles if you have medial shin splints, and your calves if you have anterior shin splints. Also, try this stretch for your shins: Kneel on a carpeted floor, legs and feet together and toes pointed directly back. Then slowly sit back onto your calves and heels, pushing your ankles into the floor until you feel tension in the muscles of your shin. Hold for 10 to 12 seconds, relax and repeat.
In a sitting position, trace the alphabet on the floor with your toes. Do this with each leg. Or alternate walking on your heels for 30 seconds with 30 seconds of regular walking. Repeat four times. These exercises are good for both recovery and prevention. Try to do them three times a day.
Lastly, the Runner's World article I posted said that some people have luck with wrapping their legs during running. According to Dr. Sheldon Laps, DPM, a podiatrist, "What you're doing is binding the tendons up against the shaft of the shin to prevent stress."
I am far from an expert on the situation, so this is largely regurgitated material I've found elsewhere, but I hope that it is helpful to you.