Bags under eyes — mild swelling or puffiness under the eyes — are common as you age. With aging, the tissues around your eyes, including some of the muscles supporting your eyelids, weaken. Normal fat that helps support the eyes can then move into the lower eyelids, causing the lids to appear puffy. Fluid also may accumulate in the space below your eyes, adding to the swelling. Below is best product for dark eye circles.
1.111SKIN Celestial Black Diamond Eye Cream
Banana Bright eye cream that inspired by the ‘banana powder’ trusted and loved by make-up artists. Its pigments ingredients make brighten and colour correction the area around eyes. In addition, this cream contains buttery texture, with vitamin C and smooths fine lines and the skin’s surface to better prep the area for make-up.
2.CeraVe Eye Repair Cram, £8.25 Look Fantastic

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Ever since CeraVe hit UK shores, it has been a favourite among the beauty elite. It’s a brand developed by Dermatologists at low prices. This eye cream is non-sticky, fast absorbing and moisture-boosting, which in turn brightens the eye area and gets rid of dark circles.
Read more at https://www.marieclaire.co.uk/beauty/skincare/best-eye-cream-214461#l8l4RFOGMPoURpeg.99
3.Kate Somerville Goat Milk De-Puffing Eye Balm

£32
Cult Beauty
Technically not an eye cream per se, but the benefits are so good we had to shout about it. Roll this soothing little gel stick across your under eye area and the whole thing will be noticeably smoother and less puffy, with a lasting cooling effect. Keep it in your bag to stave off tired eyes.
Read more at https://www.marieclaire.co.uk/beauty/skincare/best-eye-cream-214461#l8l4RFOGMPoURpeg.99
4.Votary Intense Eye Oil – Tuberose and Retinoid, £115 Space NK

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Yes, this is on the more expensive side, but this little vial will last and last. The roller-ball applicator dispenses the exact amount needed around the eye socket. Not only does this feel DIVINE if kept in the fridge, it’s also super soothing before you go bed. The powerful blend of natural plant extracts, oils and a gentle retinoid to help improve the appearance of fine lines. Add it into your bedtime ritual.B
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5.Avène Soothing Eye Contour Cream

£9.50
Sometimes you’d happily take a wrinkle, a couple of fine lines and shadows under your eyes, if it means you can just have a bit of relief for tight, red and sore skin. We completely understand and that’s why you should look no further than Avène.
Above are best product for dark eye circles. Hope that it is useful for you.