In 1962, he was awarded a Guggenheim Fellowship, and in 1963 he began teaching at Dalhousie, where he remained until his retirement in 1990, after which he was made McCulloch Professor of Philosophy and Politics Emeritus.
Although Dalhousie lacked a doctoral program until shortly before he retired, Braybrooke had a major influence on his junior colleagues, especially Alexander Rosenberg.
He continued to teach until 2005, at the University of Texas at Austin, holding the Centennial Commission Chair in the Liberal Arts as a Professor of Government and Philosophy.
University of Toronto Press published a fourth book in this series in 2006, Analytical Political Philosophy: From Discourse, Edification.
As Susan Sherwin wrote in the introduction to Engaged Philosophy: Essays in Honour of David Braybrooke, his "aim is to help guide policy debates by allowing participants to determine appropriate rules for attending to the needs of citizens of nations and of the world in a fair and achievable way.