A method of pressing flowing-down molten glass from the opposite sides thereof by a pair of shaping mold members to thereby manufacture a glass optical part having surfaces corresponding to the shaping surfaces of the mold members is characterized in that a groove forming ring is provided around the shaping surface of at least one of the shaping mold members, a groove is formed in the molten glass by the groove forming ring during the press and the flowing-down molten glass is cut above that portion thereof which is being pressed, thereby obtaining a glass molded article having an ear protruding outwardly of the groove relative to an optical part body portion.