The immobilization of DNA nanostructures on a surface is a key step for the integration of DNA-based material in nanotechnology for electronic or sensorial applications. Thereby the arrangement and distribution at the substrate surface is of growing interest. Top-down approaches such as lithography have been reported, but show certain limitations regarding costs and/or throughput. Here we present a self-assembly effect observed when already immobilized and dried origami preparations were again rehydrated under certain conditions, resulting in a certain ordering of densely packed origami structures. We investigate the influence of different parameters in order to reveal the underlying mechanisms, and find that subsequent droplet formation and interfacial tension during the droplet drying play a role. Further adjustment of these parameters could develop the introduced effect to an additional tool for controlled integration of DNA nanostructures.