A medium discharging apparatus includes a pair of discharging rollers, a stacker, and a pressing member. The pair of discharging rollers are configured to rotate to discharge a sheet of medium held therebetween. The discharged sheet of medium and are stacked onto the stacker. The pressing member is disposed downstream of the discharging rollers with respect to a path into which the medium is discharged by the discharging rollers. The pressing member is configured to traverse the path and to swing about a shaft due to a gravity force thereof. When the sheet of medium is discharged by the discharging rollers, the pressing member interferes with the sheet of medium and exerts the gravity force on the sheet of medium downward toward the stacker while swinging about the shaft.