The characteristics of near-fault ground motions and their impact on engineering structures are critical research topics for both the seismological and engineering communities. Variations in fault rupture propagation lead to the generation of ground motions with distinct dynamic characteristics. Extensive researches have been conducted on the effects of forward directivity and fling-step pulse-like ground motions on building structures, as these near-fault motions exhibit strong impulsive behavior.In the early morning of 21 September 1999, an earthquake （M_W＝7.6） struck central Taiwan near town of Chi-Chi. Before this event, there were only a few of ground motion records worldwide for earthquakes greater than magnitude 7.0 within distance less than 20 km from causative fault. The Jiji earthquake generated staggering 70 three-component recordings within 20 km of the fault. Additionally, a significant number of pulse-like ground motions exhibiting forward directivity and fling-step effects were observed. This earthquake provided an exceptional research opportunity, significantly advancing the understanding of near-fault strong ground motions and making a profound contribution to the fields of seismology and earthquake engineering.Furthermore, observations from numerous earthquake damage cases reveal that ground motions comprise both translational and rotational components. The torsional effects induced by earthquakes have emerged as a significant factor in reducing the safety of engineering structures. However, due to the limitations of current observational technologies, directly measuring the rotational components of ground motion remains a challenge. To address this, many researchers have attempted to derive rotational components using various mathematical models. With ongoing refinements by researchers, the frequency-domain method has achieved high accuracy in calculating rotational components and has been widely adopted in studies focusing on the rotational ground motion.In real earthquake events, the structure will suffer both the translational and rotational components of the ground motion. Especially for the near-fault pulse-like ground motion, there will be a significant influence on structural performance under the combined effects of the above two factors. Thus, this paper selects forward directivity pulse-like ground motions, fling-step pulse-like ground motions and non-pulse-like ground motions as initial translational records. The frequency domain method is used to generate corresponding torsional components. First, the results of the shaking table tests on steel frame structures previously conducted by the research group were used as a benchmark to validate the accuracy and rationality of the finite element modeling method. Then, the seismic response of a 5-story seismic-designed steel frame structure is analyzed under rare hazard level by combining different types of pulse-like ground motions and torsion components.The results show that when only consider the influence of pulse-like ground motion, the forward directivity pulse-like ground motion has the greatest effect on the interstory drift with an increase of 44%. When only consider the influence of torsion component, the interstory drift of the corner column increases by 24%, while the interstory drift of middle column almost unchanged. Under the combined effect of the pulse-like ground motions and the torsional component, the corner column is more affected by the torsional component, while the middle column is more affected by the velocity pulse ground motion. Therefore, the seismic design should consider the plane position of the components and pay attention to the pulse-like ground motion and torsion components. And it is necessary to take the corresponding design measures to improve the overall seismic capacity of the structure.