Biaxial deformation of freely jointed chain molecules in a solid state is considered. Biaxial molecular orientation is directly related to the applied deformation. Segmental orientation and stress are considered using non-Gaussian inverse Langevin statistics of the chain end-to-end vectors. Pade approximation and series expansion of the inverse Langevin function are used. Global orientation of chain segments and stress are analyzed for affine biaxial deformation of non-Gaussian chains. Molecular anisotropy is characterized by the norm of the average orientation tensor, \\D\\, and the global anisotropy of the stress tensor is characterized by the norm \\P\\. Non-linear behavior of the orientation vs. stress characteristics for isochoric uniaxial deformation, calendering (gimel(1) = 1) and biaxial deformation are discussed.