A considerable amount of research work, therefore, has been under progress regarding the elastic behavior of laminated composites, particularly thin plates. The problem of such a plate has been studies by several people. Some of them include J.R. Vinson, J.M. Whitney, A.W. Leissa, J.E. Ashton and so on. In this paper, some methods of analysis of generally anisotropic laminated curved plates including the effects of transverse shear deformation are given. The boundary conditions are clamped. When the length of the plate is great as compared with its thickness, conventional methods of structural analysis can be employed. But if the length of the plate is short compared with its thickness, no analytical solution seems to be feasible. One of the practical methods of analysis of such problem is the finite difference technique. When this technique is used to solve this problem, it is desirable to reduce the order of the derivatives in order to minimize the number of the pivotal points involved in each equation. This purpose can be accomplished with relative ease. The fourth-order partial differential equation of plate bending is replaced by an equivalent three of second -order partial differential equations with three dependant variables, namely the deflection and the slope deflections. The finite difference techinque is then applied to transform these differential equations into sets of linear algebraic equations. In order to solve the resulting matrix equation with a large number of unknowns, a special scheme is used in programing for the computer.