In steel structures, the connections within the joints are idealized as either rigid or pinned. However, the rigid connections have a point of flexibility, whereas pinned connections have some stiffness. Connection stiffness features a considerable effect on forces developed within the frame members, lateral displacements of joints as well as base shear of the structure during seismic events. In this paper, the influence of the semirigid (SR) behavior of the beam–column connection in the response of the frame structure is studied. The moment–rotation (M-θ) relationship is an important measure of the semirigidity of the connections. The SR connections are modeled as multilinear plastic (MLP) link elements with kinematic hysteresis behavior in SAP2000. A five-story steel special moment-resisting frame (SMRF) is modeled considering fully rigid (FR) connections as well as SR connections. The performance of the frame is analyzed using pushover analysis, and response parameters like time period, lateral displacements, base shear, and inter-story drift ratio are compared for rigid and SR connections. The semirigidity of the connection was found to increase lateral displacements of the modeled frame. Apart from this, the base shear also decreases in SR frames as compared to FR frames.