The present study aims at the vulnerability assessment of a typical Reinforced Concrete (RC) building subjected to ground shaking and earthquake induced landslide. A two-step numerical analysis is proposed. First, dynamic non-linear computations are employed using an adequate non-linear finite-difference slope model to assess the seismic demands, i.e., the acceleration time histories and the permanent differential ground displacement time histories. Then, a series of nonlinear dynamic and static time history analyses are performed with the aid of finite element analysis considering a reference building located at varying distances from the slope’s crest. The derived fragility curves for the two modes of failure, presented as a function of Peak Ground Acceleration (PGA) at the rock outcrop, are compared to gain insight into the prevailing damage mechanism. Finally, coupled fragility curves are constructed that take into account the combined damages due to ground shaking and seismically induced landslide.