Accurate modeling of fracture nucleation and propagation in brittle and ductile materials subjected to dynamic load is important in predicting material damage and failure under extreme conditions. The exact solution of the high-order phase-field fracture model has higher regularity. Thus numerical solutions of the model can embrace improved convergence and better accuracy. Virtual element methods are generalization of classical finite element methods and allow polytopal meshes. In this work, we develop a virtual element framework for the high-order phase-field model of dynamic fracture. We use $C^0$ virtual elements and generalized-$\alpha$ method for the elastodynamic equation, and adopt $C^1$ virtual elements for the high-order phase-field equation.