The invention discloses a feeding and discharging device and a method thereof in the technical field of automatic control of press machines. The feeding and discharging device comprises a motor, a connection base capable of sliding up and down and a material conveying mechanism. The motor is in transmission connection with a drive crankshaft, the drive crankshaft is connected with the upper end of a drive connecting rod, and the lower end of the drive connecting rod is connected with a driven crankshaft. The driven crankshaft is further in transmission connection with a drive gear. The connection center of the drive connecting rod and the driven crankshaft is arranged eccentrically relative to the connection center of the drive gear and the driven crankshaft. The drive gear is in transmission connection with a driven gear. The driven gear is connected to one end of a drive shaft, and the other end of the drive shaft is connected with one end of a driven connecting rod. One end of a main swing arm and one end of an auxiliary swing arm are hinged to a connection base, and the other end of the driven connecting rod is hinged to the main swing arm. The material conveying mechanism comprises a base, the other end of the main swing arm and the other end of the auxiliary swing arm are hinged to the base, and the end portion of the base is connected with a material placement part used for bearing materials. According to the feeding and discharging device and the method thereof, the structure is ingenious, automatic feeding and discharging are achieved, the conveying efficiency is improved, and time and labor are saved.