A steady-state response is presented for a damped cantilever annular sector plate with curved radial edges by the Ritz method. The plate is transformed into a regular sector plate with a unit outer radius by a transformation of variables. The transverse displacement of the transformed plate is approximately expressed in terms of the power functions, and the driving-point impedance is derived analytically. By the application of the present method, the response curves of the cantilever annular sector plate with curved radial edges, driven at an arbitrary point, are calculated numerically. The effects of the shifting angle, damping factor and the location of the driving point on the steady-state responses are clarified quantitatively for the cantilever annular sector plate with curved radial edges.