In this letter, we present an empirical model that predicts the building penetration loss at the 2-GHz band for high elevation angles involved in mobile communications served by high altitude platform stations. The model takes into account the elevation angle of the specific building with respect to the position of the platform. The penetration loss is found to be an increasing function of the elevation angles for a building with concrete walls and normal window size. The predicted values are compared with a ray-tracing simulation and a measurement campaign and good agreement is reported.Index Terms-Building penetration loss, electromagnetic propagation, empirical model, outdoor-to-indoor propagation.