Galbraith was born in Carlisle, Kentucky. He graduated from the University of Kentucky in 1974 and from the University of Kentucky Law School in 1977. Galbraith's law practice focuses on criminal law and personal injury civil actions. In 2004, he became a columnist for the Louisville-based alternative weeklySnitch, writing on cases he has handled, and debating with other contributors on civil liberties. He is the divorced father of three daughters.
Galbraith has run unsuccessfully for various offices in Kentucky including Commissioner of Agriculture, Governor of Kentucky (3 times), Congress (twice) and Attorney General of Kentucky. He has announced that he will seek the Democratic nomination for governor in May 2006.