Based on the differential quadrature method, the transverse vibration and stability concerning of spinning circular plate is investigated. According to the plane stress problem and Kirchhoff’s thin plate theory, the middle internal forces of axisymmetric spinning circular plate with homogeneity and constant thickness are obtained under the action of linearly distributed normal inertial force along the radial direction of the spinning circular plate, and the differential equation of motion with variable coefficients for the axisymmetric spinning circular plate is established in the form of polar coordinates. The differential quadrature method is employed to discretize the differential equation with variable coefficients and corresponding to some bound-ary conditions. Through numerical calculation for spinning circular plate with simply supported edge, clamped edge (non-radial displacement at the external boundary) and completely free edge, the real parts and imaginary parts of the first two order complex frequency versus the angular speed are analyzed, and their sta-bility types and corresponding to critical angular speed are obtained respectively.