With recent trends in the offshore industry to move to deeper water, the response of submarine slopes has become a major geo-hazard issue partly due to the consequences for pipelines traversing the slopes. The dynamic and permanent displacements of the slope can exert axial loads and large bending moments on the pipeline. A fully integrated nonlinear dynamic analysis of pipeline-slope response under earthquake loading is impractical due to the spatial extent of the model and complications of pipe-soil interaction. The objective of this paper is to present a numerical model for this problem by a sub-structuring approach whereby the response of the pipeline is computed in two steps. In the first step, the dynamic response of the slope is computed independently of the pipeline, and in the second step, the interaction of the pipeline with the soil is analyzed using a model of the pipeline on distributed strain-softening soil springs. The input motion in the latter analysis is the asynchronous acceleration time histories computed on the surface of the slope along the pipeline in the first step. The computational model developed for this purpose, Quiver_pipe, is the result of research in the Joint Industry Project (JIP) Earthquake Effects in Deep Water.