The invention is directed to deployable reflectarray antenna structure. In one embodiment, the deployable reflectarray antenna structure includes a pair of flexible electrical elements, a feed antenna, and a deployment mechanism that employs a plurality of tapes to respectively transition the pair of flexible electrical elements from an undeployed state in which the elements are folded towards a deployed state in which the deployment mechanism and electrical elements cooperate to form a reflectarray and a subreflector of a reflectarray antenna structure. Further, the deployment mechanism also operates to position the reflectarray and subreflector relative to one another and to the feed antenna so as to realize a reflectarray antenna structure.