Permanent deformations in a steel moment resisting frame can be eliminated by using post-tensioned (PT) elements. This paper presents the development of three-dimensional finite element models of PT steel beam-column connection subassemblies. Knowing that there is limited experimental data in the literature on PT steel connections with top-and-seat angles, reliable finite element models can be used to investigate the load carrying behaviour of PT steel connections as well as producing more data for these new connections. In this paper, finite element modelling, meshing, and analysis are performed in the commercial software, ANSYS. The analysis includes geometric and material nonlinearities, pre-loaded bolts and strands, gap opening and closing behaviour, in addition to contact and sliding phenomena. The results of finite element simulations are verified against previous test results on five interior PT steel beam-column connections with top-and-seat angles. In addition, parametric studies are conducted to investigate the effects of three factors on the cyclic response of PT steel connections. These factors include the yield strength and strain hardening of steel angles, the amount of initial post-tension force in PT strands, and the use of beam flange reinforcing plates