Upon graduation Turnier joined the tax department of the law firm of Cravath, Swaine & Moore in New York City. He joined the UNC-Chapel Hill law faculty in 1973. His teaching interests are in the areas of federal taxation and the value added tax and his scholarly interests are in the areas of federal taxation, the value added tax and law and social science. He is the coauthor or coeditor of six books in the area of taxation, several in multiple editions. He has presented scholarly papers at conferences in this country and abroad and is a regular contributor to law reviews. Turnier has served as a visiting professor at the University of Texas, the University of Utah, the University of Virginia, the University of Alabama, Duke University, Hofstra University and the Academy of International Taxation in the Republic of China.