A banknote-passing type banknote conveying device, used at a banknote inlet-outlet of an automatic teller machine, includes a mounting lateral plate, a banknote stacking mechanism, a banknote clamping and conveying mechanism, a pressing mechanism, a jacking mechanism, and a central control unit for controlling the operation of the above mechanisms. The banknote-passing type banknote conveying device uses a lifting motor and a connection rod to drive a lifting plate to move the banknotes up and down, and uses a pressing plate to move the banknotes back and forth. The functions of stacking and passing banknotes are achieved in an effective space. Moreover, a pull type electromagnet and a spring are used to control the opening and closing of the banknote clamping and conveying mechanism, thus a traditional motor control method and the like can be omitted, such that the cost is low, and the reliability is high.