The full Navier-Stokes equations are adopted to describe the unsteady oscillating flow f ield over the sphere-cone. The formula of damping-in-pitch derivatives is presented under Etkin’s theory. The steady flow field is solved by the NND scheme in ADI form, and the unsteady flow field is solved by combining the four-stage Runge-Kutta scheme and implicit residual smoothing method. The numerical results are compared with experiment and ENT calculation. The tide of the derivatives varying along with the position of oscillation center is studied.