Finian \f(i)-nian\ as a boy's name is of Irish and Gaelic origin, and the meaning of Finian is "fair". The 1968 film "Finian's Rainbow" was Fred Astaire's last musical. Saint Finnian of Clonard (fifth and sixth century) was called "The Teacher of Irish Saints" because a number of students at his school became very prominent ecclesiastics.
Finian has 6 variant forms: Finan, Finnian, Fionan, Fionn, Phinean and Phinian.
For more information, see also the related name Finn.