A class of quintic WangBall curve with three shape parameters α,β,γ is defined in this paper. This class of curve not only realizes the transition from quintic WangBall curve to quintic SaidBall curve and quintic Bézier curve, but also inherits the geometrical properties of quintic Ball curve. The geometrical meaning of shape parameters α,β,γ is analyzed and the shape of the curve can be adjusted flexibly. Some examples demonstrate the effectiveness of this method.