(covers information from several alternate timelines)
Starfleet Administration (or simply Fleet Administration) was a Starfleet agency.
Vice Admiral David Livingston was noted for his work with Fleet Administration on the USS Phoenix on stardate 40250.5. (TNG: "The Wounded", dedication plaque) He was later noted for his work on the USS Sutherland on stardate 44820.5. (TNG: "Redemption II", dedication plaque)