The governing equations of a discretely stiffened plate theory suitable for the non-axisymmetric elastic large deflection analysis of radially stiffened annular sector plates are outlined. A brief description of the DR finite difference procedure for the solution of these equations is presented. The DR analysis results for clamped stiffened annular sector plates subjected to uniform transverse pressure are compared with finite element solutions and it is established that the DR and FE results are generally in close agreement. The DR analysis is used to carry out four large deflection parameter studies to quantify the effects of stiffener depth, inner to outer radius ratio, thickness to radius ratio and sector angle on the response of uniformly loaded simply supported and clamped annular sector plates stiffened by a single eccentric radial stiffener.