Large lift-to-drag ratio,high maneuverability,and good controllability are the basic performance for flight vehicles.Studying the rolling stability problems of a high lift-to-drag ratio aircraft is of great significance to the safety and control in maneuvering flight.The research on the static stability in the rolling direction of a HTV-2 like shape under a typical Mach number and attack angle was carried out.Similarly,by using Euler,laminar,turbulence and transition models,investigations of the dynamic stability in a single degree of freedom rolling motion of the same shape structure were executed.The numerical results show that the dynamic derivative of Euler is the largest,and the dynamic derivatives resulting from laminar,turbulence,and transition models are not much different.