The surgical procedure done to remove bags under the eyes is called blepharoplasty, according to the American Association of Plastic Surgeons. In addition to eliminating bags under the eyes, blepharoplasty is used to remove excess fat and to treat sagging, loose or droopy skin on both the upper and lower eyelids.
In a blepharoplasty procedure, a general anesthetic or sedation is first administered. Next, incisions are made in such a way as to conceal any subsequent scarring. In the case of the lower eyelid area, an incision can be made right under the lower lash line, and excess skin and fat can be removed. Alternately, a transconjunctival incision can be made on the inside of the eyelid. This alternate technique allows for fat to be removed or shifted, without removing any skin.