A simplified variational approach, stress-based, for the analysis of symmetric cross-ply laminate was developed in Part 1 of this work. It was also tested for the 1-D problem, orthotropic plate in a cylindrical bending, solved exactly by Pagano. This simplified approach is extended here to a two-dimensional structure. The accuracy of the present approach is examined by applying it to the case of rectangular laminated plate with simple support for which the elasticity solution was obtained [1,2]. The present approach gives results for multi-layered laminate with small span-to-thickness ratios that compare well with those from elasticity solutions and other known theories as well.