Stress generally occurs in curved panels made of non-isotropic materials (triclinic materials with 21 in-dependent elastic components) in nature. Hence, the behavior of triclinic shells remains poorly understood. The present study aims to obtain a model with no approximation in processing to truly analyze the static bending characteristics of nano-size shells made of triclinic material; different curves are also examined. The problem of different boundary conditions such as simply-supported, clamped, and a combination of them will also be examined. Initially, we model the panel with a higher-order shear deformation theory where Eringen nonlocal differential model is selected to predict the size-dependency. Then, the governing motion equations are acquired through a virtual work of Hamilton statement. Ultimately, the partial differential equations for static bending problems are solved numerically utilizing the generalized differential quadrature method. The numerical examples are expanded for the sensitivity of stress and displacements’ deflection to geometrical coefficients, boundary conditions, nonlocality and curves. Furthermore, a comparison between the present anisotropic model and the isotropic approximated matrix of elastic components is performed to show the importance of the present work. The results presented here can not solely be a computational study of triclinic shells but can also be used as a benchmark of future works on materials with unsymmetrical crystalline structures.