A nonlinear torsional vibration model with 11 degrees of freedom is developed in this paper for study the influence of clutch disc characteristic on the shuffle during vehicle starting. In the model stiffness and hysteresis characteristic of clutch disc, gear teeth backlash and stick-slip characteristic of clutch is taken into consideration. The dynamic response of the model during vehicle starting is calculated, and the proposed model and the calculation result are validated by vehicle experiment. The influence of the clutch disc on the shuffle of the vehicle is analyzed. The result shows that increasing the static friction coefficient and reducing the moment of inertia and torsional stiffness of clutch disc can improve the phenomenon of shuffle. The developed model and analytical procedure proposed in this paper are instructive for shuffle vibration by optimization of a clutch disc.