Seismic response probabilistic analysis for earth-rock dams is a crucial step in performance-based seismic safety evaluation. It represents a significant transition from deterministic analysis to stochastic analysis. To conduct such an analysis, it's essential to thoroughly consider the uncertainties associated with the seismic response of earth-rock dams and select appropriate and effective probabilistic analysis methods. In the following, the uncertainties present in the seismic response of earth-rock dams and the primary probabilistic analysis methods will be briefly outlined. Additionally, the theoretical foundation and solution procedures of these methods will be briefly introduced. This will establish the theoretical groundwork for subsequent analyses of stochastic dynamic responses and performance-based seismic safety evaluations for high concrete faced rockfill dams.