A film feeding apparatus and a control method thereof are provided. The film feeding apparatus comprises a delivery head. A surface of the delivery head has an air suction region and an air blowing region, and the air suction region and the air blowing region respectively include an air hole; and by cooperation of air suctioning through the air hole of the air suction region and air blowing through the air hole of the air blowing region, a film is kept nearby the delivery head in a non-contact manner in the case that the delivery head adsorbs the film.