Objective To study the pressure angle and curvature parameters that affect the force and the performance of kinematics transfer of spatial cylinder cam mechanism in complete-automatic binder. Methods The theory of conjugate curved surface was applied to derive the calculation formulas of pressure angle and curvature. The curves of pressure angle and curvature were drawn based on Matlab software, the maximum values of pressure angle and the values of induced main curvature were concluded in each stage of the pressure riveting, and they were compared with the allowable pressure angle and the critical value of curvature. Results The maximal pressure angle was during the rising process of the rivet; the pressure angle was close to zero during the pressure riveting process; the maximum value of pressure angle was during the returning process of the rivet. The values of induced main curvature of each point were greater than zero. Conclusion The maximal pressure angle was lower than the allowable pressure angle during the rising process of the rivet, which could meet the requirement; the force transmission performance of cam mechanism was good during the pressure riveting process; the power demand was very small during the returning process of the rivet, the change of pressure angle was great, which had little impact on the normal operation of the machine. Curvature interference did not happen.