A computer-implemented method, system and computer program product for ensuring stability in the arrangement of a pile of packages delivered by drones. Upon receipt of package information concerning packages to be delivered by multiple drones at the same destination within a duration of time, simulations are performed of stacking the packages using different approaches based on the received package information. Based on simulating the various ways of stacking the packages to be delivered at the destination, the optimal arrangement of stacking the packages at the destination in a particular order and in a particular manner by the drones within the duration of time that maximizes the stability in the resulting arrangement of the pile of packages is identified. The drones scheduled to deliver the packages to such a destination are then instructed to deliver such packages to the destination in such a particular order and in such a particular manner.