According to modern seismic codes, entering the behavior of the structure to nonlinear zone, is essential. Obviously if the nonlinear behavior of the structure enter the nonlinear zone, failure of some structural elements is inevitable. Experiments have been shown that repair of elements is necessary for moderate to high earthquakes. Hence, using a structural system that is easy to repair in seismic regions is beneficial. Logically For the structures that are focusing any nonlinear deformation in specific elements and in addition residual drift is inconsiderable, maintenance is easy. For this purpose in this research the behavior of the self-centering eccentrically braced frame (SC-EBF) with fuses distributed in height which has the characteristic of the maintainability structures, has been studied. In the SC-EBF columns are not attached to ground and have the ability to uplift. Furthermore, SC-EBF placed inside a gravity frame and fuses between rocking and gravity columns have been placed. In the following, post-tensioned cables for bringing the frame to zero station along rocking columns was placed. For investigation the seismic behavior of this system, nonlinear quasi-static and dynamic analysis have been used and different amount of cables and fuses have been compared. Results indicate that this system shows the flag-shaped behavior and by increasing fuses resistance, energy dissipation increases. Furthermore, by increasing post-tensioned cables, ultimate capacity of the frame, increases. Nonlinear dynamic analysis shows the drifts in all stories is the same and inconsiderable residual displacement exists after the earthquake.