The present work is dedicated to the study the effect of the applied loads on the behavior of top-set angle with double web angle bolted metal beam-to-column (TSA-DWA) connection. A numerical study of finite elements for the characterization of the nonlinear behavior of metal connections types carbon steel ASTM A36 mild steel with screw fasteners. The numerical analysis is based on a three-dimensional model with 3D solid brick element, each element consists of eight nodes using the software of finite elements ABAQUS. The model takes into account material and geometric nonlinearities (contact, plasticity, large displacements). This model has calibrated on the basis of experimental results two connections with different geometric configurations. In addition, to validate the model developed.