An apparatus for pulling a bill or a check installed in a storage cassette of a bundle bill and check acceptor, comprising: a transfer roller unit transferring a paper medium that is vertically introduced into an inlet port of the storage cassette (720, 740); a transfer belt unit provided to be rotated so that the paper medium that has passed through the transfer roller unit is horizontally transferred to a rear of the storage cassette (720, 740); a clamping roller unit provided to clamp a front end of the paper medium depending on rotation of the transfer belt unit; [[and]] first and second elastic clamps (40, 42) provided on upper and lower portions of the transfer belt unit at positions spaced apart from each other by a predetermined distance, each of the first and second elastic clamps (40, 42) being configured such that a front end thereof is open when passing through the clamping roller unit and then clamps and pulls the front end of the paper medium that has been vertically introduced, and the elastic clamp (40, 42) releases the paper medium at the rear of the storage cassette so that the paper medium is stacked horizontally on the top of another in the storage cassette (720, 740); and a stack wheel provided on the transfer belt unit; and characterized in that the stack wheel strikes a rear end of the paper medium that has been clamped and is being transferred, so that the medium falls down the storage cassette (720, 740), and three holes (32, 34, 36) are formed at regular intervals in each on the transfer belt unit, and wherein the apparatus further comprises a prism sensor unit including a light emitting part and a light receiving part, the light emitting part and the light receiving part provided in association with two holes of the three holes (32, 34, 36) to control each of the elastic clamps (40, 42) to be disposed at a predetermined position of the clamping roller unit in which the paper medium is clamped by the elastic clamp (40, 42). a transfer roller unit transferring a paper medium that is vertically introduced into an inlet port of the storage cassette (720, 740); a transfer belt unit provided to be rotated so that the paper medium that has passed through the transfer roller unit is horizontally transferred to a rear of the storage cassette (720, 740); a clamping roller unit provided to clamp a front end of the paper medium depending on rotation of the transfer belt unit; [[and]] first and second elastic clamps (40, 42) provided on upper and lower portions of the transfer belt unit at positions spaced apart from each other by a predetermined distance, each of the first and second elastic clamps (40, 42) being configured such that a front end thereof is open when passing through the clamping roller unit and then clamps and pulls the front end of the paper medium that has been vertically introduced, and the elastic clamp (40, 42) releases the paper medium at the rear of the storage cassette so that the paper medium is stacked horizontally on the top of another in the storage cassette (720, 740); and a stack wheel provided on the transfer belt unit; and characterized in that the stack wheel strikes a rear end of the paper medium that has been clamped and is being transferred, so that the medium falls down the storage cassette (720, 740), and three holes (32, 34, 36) are formed at regular intervals in each on the transfer belt unit, and wherein the apparatus further comprises a prism sensor unit including a light emitting part and a light receiving part, the light emitting part and the light receiving part provided in association with two holes of the three holes (32, 34, 36) to control each of the elastic clamps (40, 42) to be disposed at a predetermined position of the clamping roller unit in which the paper medium is clamped by the elastic clamp (40, 42).