A saxophone mouthpiece, made in one piece, is comprised of a reed indicating a mild slope rising in arc backwards; a middle section receiving the reed and having its outer circumference indicating an approximately conic shape and a tail in a diameter smaller than that of the middle section being adapted to a crook of the saxophone; and an air duct penetrating inside the mouthpiece characterized by that the reed having a mild expansion from both sides of the reed at where it meets the middle section to provide closer contact of lips of its player with both sides of the reed when the mouthpiece is held in the mouth of the player for allowing easier and more concentrated playing.