In 974, Kanemichi succeed FUJIWARA no Yoritada as the head of the Fuji clan, was awarded the rank of Shonii (Senior Second Rank) and was appointed as Dajo Daijin (Prime Minister).
天延2年（974年）には藤原頼忠に代わって藤氏長者となし正二位に進め、太政大臣に任ずる。