In this study, the behavior of slip-critical connection of steel beam to CFT column has been analytically studied by using and not using web stiffeners in beam. In the studied connections, steel beam and triangular stiffeners attached on its flanges are installed on both sides of connection by the end-plate and passing rods through the column. In this study, 5 specimens with different number and arrangement of beam web stiffeners have been designed by AISC 2011 specifications and modeled with the finite element software of ABAQUS and subjected to static and cyclic loadings. To achieve correct trend of analytical modeling in software, the results obtained from a tested experimental specimen have been compared with stimulated analytical one and have been evaluated. In addition to proving the appropriate behavior of the connection under cyclic and static loading, the analytical study of the designed specimens confirm the significant effect of beam web stiffeners on the performance of studied connection.