A sheet conveying apparatus includes a discharge tray having a support surface supporting a sheet discharged by a discharge unit of a conveyor. A first stopper is provided on the support surface. A movable member is provided on the support surface between the discharge unit and the first stopper. The first stopper is changeable between a first position at which the first stopper protrudes from the support surface and a second position at which the first stopper is stored in the discharge tray. The movable member is changeable between a third position at which the movable member protrudes from the support surface and a fourth position located nearer to the support surface than the third position. The first stopper is changed from the first position to the second position in conjunction with a change of the movable member from the third position to the fourth position.