The sliding door system includes a sliding door, displaceable along a running rail relative to a stationary activation member up to a closing position; which includes a door leaf equipped with an activatable sealing device including an extractable sealing strip and actuating element equipped with a transmission device including a transmission element; and includes at least two carriages, including a carriage body and running elements connected to the door leaf, and are held in the running rail displaceable in parallel to the longitudinal axis of the running rail; wherein the activation member and transmission device are arranged so that, when the sliding door enters the closing position, a force can be transmitted from the activation member via the transmission element to the actuating element in order to drive out the sealing strip. A stationary buffer device stops the sliding door in the closing position and includes the activation member.