The only event reported in Kenneth's reign is the killing of Dúngal mac Cináeda by Gille Coemgáin mac Cináeda, by the Annals of the Four Masters s.a. 999. It is not certain that this refers to events in Scotland, and whether one or both were sons of this Kenneth, or of Kenneth II of Scotland, or some other person or persons, is not known. Kenneth was killed in battle at Monzievaird in Strathearn by Malcolm II (Máel Coluim mac Cináeda) in 1005.
Whether Boite mac Cináeda was a son of this Kenneth, or of Kenneth II, is uncertain, although most propose this Kenneth. A son, or grandson of Boite, was reported to be killed by Malcolm II in 1032 in the Annals of Ulster.
Kenneth's granddaughter, Gruoch daughter of Boite (Gruoch ingen Boite meic Cináeda) — Shakespeare's Lady Macbeth — was wife firstly of Gille Coemgáin, Mormaer of Moray, and secondly of King Macbeth; her son by Gille Coemgáin, Lulach (Lulach mac Gille Coemgáin), would briefly succeed Macbeth as King of Scotland. The meic Uilleim, descendants of William fitz Duncan by his first marriage, were probably descended from Kenneth.