A sheet processing apparatus includes a punch portion punching a hole at an end part of a sheet, and a push-out member discharging the sheet by pushing the end part of the sheet where the punch process is performed by the punch portion. The push-out member discharges the sheet at a sheet discharging speed lower than a predetermined speed from the intermediate process tray in accordance with punch process information (i.e., combination of a size and a type of the sheet and number, a shape and a size of holes) that strength of a sheet end part is decreased by the punch process, and is lower than predetermined sheet strength capable of being discharged at the predetermined speed.