According to the Assyrian King List [http://oracc.museum.upenn.edu/riao/kinglists/assyriankinglist/index.html] (AKL), Aššur-nārārī III (ca. 1202-1197 BC) succeeded Aššur-nādin-apli [http://oracc.museum.upenn.edu/riao/thekingdomofassyria13631115bc/ashurnadinapli/index.html] as king of Assyria; one copy of the AKL (the Khorsabad List [http://oracc.museum.upenn.edu/riao/kinglists/assyriankinglist/khorsabadlist/index.html]) erroneously states that his father was Ashurnasirpal (I), rather than Aššur-nādin-apli. Aššur-nārārī, the eightieth ruler of Ashur, exercised kingship for six years. His uncle Enlil-kudurrī-uṣur [http://oracc.museum.upenn.edu/riao/thekingdomofassyria13631115bc/enlilkudurriusur/index.html] became king after him. Although the AKL portrays Aššur-nārārī as the sole reigning Assyrian monarch, he appears to have shared power with the grand vizier of Assyria and king of Ḫanigalbat, Ilī-ipaddu (also read Nabû-dān and Ilī-iḫaddâ; see Brinkman 1976-1980, 50-51). This evidence comes from a letter in which the Babylonian king Adad-šuma-uṣur addresses both men as "the kings of Assyria" (šarrāni ša māt Aššur; ABL 924; Brinkman 1976-1980, 50), which implies that Aššur-nārārī and Ilī-ipaddu held comparable positions at the same time.
No royal inscription of Aššur-nārārī has yet been discovered.
Poppy Tushingham
Poppy Tushingham, 'Aššur-nārārī III', The Royal Inscriptions of Assyria online (RIAo) Project, The RIAo Project, a sub-project of MOCCI, 2017 [http://oracc.museum.upenn.edu/riao/thekingdomofassyria13631115bc/ashurnarariiii/]