Viscous dampers are energy dissipation devices widely employed for the seismic control of new and existing building frames. To date, the performance of systems equipped with viscous dampers has been extensively analyzed by employing deterministic approaches neglecting the response dispersion due to the site seismic hazard condition and the record-to-record variability effects. This paper analyzes the probabilistic seismic performance of building frames equipped with viscous dampers by highlighting the influence of damper properties. In particular, a probabilistic methodology based on response hazard curves is employed to evaluate the effect of the damper nonlinearity, measured by the damper exponent, on the performance of structural and non...