This paper focuses on seismic design, assessment and comparison of conventional steel moment-resisting frame with bracings and self-centering steel frame with bracings. A prototype building was selected and designed as a conventional frame according to Eurocode 8 and as a self-centering frame. The self-centering frame is designed to utilize the same cross-section as the conventional one, while the post-tensioning connection is developed based on an iterative pushover analysis, conducted at the early phase of the design process to estimate rotations and axial forces in post-tensioned (PT) connections and to provide comparable shear strength to the conventional frame. To compare the performance of the both systems, a nonlinear dynamic analysis is conducted using a set of 30 ground motions, scaled to represent the frequently occurring earthquake (FOE), design-based earthquake (DBE), and maximum considered earthquake (MCE). Seismic analyses results show that the conventional and the self-centering frame have comparable peak story displacements and highlight the potential of the second one to eliminate or reduce damage and residual displacements.