Find the cause whether it is due to night time awakening or some cosmetic you are applying under eyes or it is just effect of light (Tyndall  effect)or it is hereditary. Take plenty of fluids, sleep at night at right time. Apply cetaphil moisturing cream around eyes in day time & Fixderma under eye cream at night on dark circles for 3 months. 20 % to 80% improvement depending on the cause.If there is no improvement ,consult dermatologist with MD or DNB Dermatogy qualification.You may use Pataday eye drops twice daily for itching .

Hello Your symptoms are suggestive of allergy Try A.cold compresses B avoid rubbing eyes C use antiallergic eyedrop like epinastine eyedrop along with lubricating eyedrop frequently D.  Soft steroid like fluorometholone can be used in pulse dose in severe cases Having said that it is provisional diagnosis Kindly share photos of your eye so that I may guide you better Regards

itching occurs due to allergy and  sometimes also due to  dryness .use lubricant  and anti allergic  eye drops 2to3 times daily and rub ocupol d eye oint twice daily on lids.