The pseudostatic method ignores seismic wave effects and leads to overly conservative results. To address this issue, this study proposes a stability analysis method for anti-dip layered rock slopes that accounts for seismic wave effects by incorporating seismic acceleration. Using limit equilibrium theory and cantilever beam bending theory, the calculation formulas for interlayer thrust under shear-sliding and flexural-tensile failure modes are derived based on the pseudo-dynamic method. The minimum optimization principle is applied to determine the most critical failure surface and the slope's safety factor. Variations in the pseudo-dynamic safety factor reveal how ground motion characteristics and slope geological parameters influence slope stability. The results show that the pseudo-dynamic safety factor fluctuates periodically over time, and its peak amplitude is influenced by the seismic coefficient. The minimum pseudo-dynamic safety factor always falls between the static coefficient and the pseudostatic safety factor. When the ratio of seismic wavelength to slope height (λ/h) is small, the pseudo-dynamic method is more accurate. As λ/h increases, the results of the pseudo-dynamic and pseudostatic methods converge. When vibration amplification effects are considered, most particle accelerations exceed pseudostatic accelerations. This leads to lower safety factors when using the pseudo-dynamic method compared to the pseudostatic approach. Slope gradient, dip angle, and layer thickness significantly affect slope stability. Changes in the toppling sliding force and the rock layer's slenderness ratio are the underlying causes of slope failure.