He was called Komatsu-dono or Komatsu Naidaijin because he had a house in Rokuhara Komatsudai, and he was also called the Lantern Minister since he had built 48 lantern towers at his house.
六波羅小松第に居を構えていたことから、小松殿ないし小松内大臣とも、またその邸宅に48の灯篭を建てていたことから灯篭大臣とも称された。