The author presents a theoretical concept of discrete analysis of spatial static and dynamic behavior of horizontally curved thin-walled box-beams provided with transverse stiffeners. The analysis covers the axial, bending, torsion-bending as well as distortion-bending behavior of the structure. The concept of the analysis is based on an application of the modified technical torsion-bending theory of thin-walled structures with a discrete variant of the method of transfer matrices.