The delicate skin around your eyes needs special natural skin care. Why use a typical skin care product with synthetic ingredients in such a tender spot? Thankfully, you don't have to, since there are many options for a natural and organic eye moisturizer. Choose an eye cream to protect the thin tissue and reduce the appearance of fine lines; an eye gel will tighten skin to minimize puffiness and dark circles. Apply either under your favorite natural or organic facial cream.