1. Regarding a devine messenger who belongs to the angelic hierarchy: In the hierarchical ranking system of angels, the higher ranking angels have more power and authority than lower ones.
2. Relating to a priestly order, or body of ecclesiastical rulers: John viewed the hierarchical scripts in the monastery museum.
3. Pertaining to a regular gradation of orders, classes, or ranks: Long ago it was thought that the hierarchical upper class could create works of paintings and music.