A sheet handling apparatus receives a plurality of sheets discharged by a discharge roller pair from an image recording apparatus on a first support member disposed below the discharge roller pair to form a stack of the sheets on the first support member and carries out handling on the stack of sheets. A second support member is supported to be movable back and forth between a projecting position where it is projected over the first support member and is able to support a rear end portion of a sheet discharged by the discharge roller pair with a front end portion of the sheet supported by the first support member and a retracted position where it is retracted from the first support member. A controller controls movement of the second support member.