A system and method for stabilizing an eye includes a contact element that is placed in contact with the anterior surface of the eye. The purpose here is to oppose movements of the eye during an ophthalmic surgical procedure. Importantly, while it is in contact with the eye, the contact element is positioned to exert minimal pressure on the eye. This is done to avoid causing any deformations of the eye that might otherwise adversely compromise a laser beam during the ophthalmic surgery.