In the past, Armey has been referred to as an idea machine and a one-man think tank. Armey has written four books, Price Theory: A Policy-Welfare Approach (1977), The Freedom Revolution (1995), The Flat Tax (1996), and Armey's Axioms (2003).
Armey and his wife Susan attend Lewisville Bible Church. They have five children. Armey is an avid bass fisherman and believes in the restorative powers of fishing, where he can put aside the pressures of work and spend time with his wife and children.