The work aims to accurately and efficiently design the pile turner’s hydraulic system and establish the model for solution to key parameters of hydraulic system. The mathematical model was established in combination with theoretical analysis and practice research, namely, with the basic parameters of paper and paper pile as input parameters, and the oil cylinder diameter of hydraulic system as output parameter, the mathematical model for the key design parameters of turner’s hydraulic system was built. Based on such mathematical mode, other parameters of hydraulic system were improved, thus determining the overall structure of hydraulic system. Finally, the fabrication of prototype was completed. The practice results showed that, 1.8 t paper piles could be clamped by the oil cylinder with oil pressure of 15 MPa and diameter of 55 mm, and pushed up by oil cylinder with diameter of 80 mm. By verifying the fabrication of prototype, it indicates that the mathematical model established can accurately solve the key parameters of hydraulic system.