There are various types of passive energy dissipation systems that are used in the seismic design of new structures and the seismic rehabilitation of existing structures. One of the most important kinds of passive energy dissipation systems, which reduce both displacements and accelerations simultaneously, are fluid viscous dampers (FVDs). Using FVDs can reduce the seismic response and improve the performance of structures during earthquake excitations and has a significant effect on the damping of structure. In this paper, Single-Degree-of-Freedom (SDOF) systems with different periods and ductility values, equipped with FVDs, are considered. In order to evaluate the collapse capacity of structures with higher precision, P-Δ effects and strength degradation are taken into account in modeling. Incremental dynamic analysis (IDA) is applied to obtain the collapse capacity of the SDOF systems under far-field ground motion records, and finally the results are investigated. It should be mentioned that the results of this study can be extended to Multi-Degree-of-Freedom (MDOF) structures.