Using extracorporeal circulation for cardiopulmonary bypass is the first step for the successful cardiac surgery, and the blood pump is the key component in extracorporeal circulation devices, the control and measurement of mechanical-fluid parameters such as flow rate and pressure are very important to guarantee the successful cardiac surgery. This paper reviews several control methods of the blood pump based on the flow rate/pressure, heart rate, ventricular work and blood assist index, and also discusses the direct and indirect measurements of the flow rate and pressure. This review concludes with the main possible trends for the further development of the blood pump control and testing methods.