A vertical cellular drape configured for use as a covering for an architectural structure may include a front drape panel and a rear drape panel. The front and rear drape panels may be coupled to each other so that the drape panels are configured to be moved laterally between an extended position and a retracted position to cover or expose an adjacent architectural structure, as desired. In addition, the drape panels may be configured to be positioned relative to each other such that a plurality of vertically oriented, internal cells are defined between the drape panels.