A sheet cutting apparatus including: an information obtaining device, which obtains information on the thickness of a sheet bundle to be cut; a sheet presser movable between a standby position for receiving the sheet bundle at a predetermined position and a pressing position for pressing the sheet bundle at the predetermined position to fix the sheet bundle; a cutting knife, which cuts the sheet bundle fixed by the sheet presser; and a control device, which moves the sheet presser to another standby position between the standby position and the pressing position before the sheet bundle is conveyed to the predetermined position.