Kvanvig has published extensively in areas such as epistemology, philosophy of religion, logic, and philosophy of language. Some of his books include Rationality and Reflection, The Value of Knowledge and the Pursuit of Understanding, and The Problem of Hell (published 1993), which debates Hell in a modern theological and philosophical way.
He is the owner and administrator of the blog Certain Doubts, which covers topics related to epistemology.
Oxford Studies in Philosophy of Religion, ed., Volume 1, Oxford: Oxford University Press, 2008. (Contributors: Finch & Rea, Fischer, Frances, Hajek, Koons, O'Connor, Pruss, Senor, Stump, van Inwagen, Zagzebski)
The Knowability Paradox, Oxford: Oxford University Press, 2006. (Paperback Edition 2008).
The Value of Knowledge and the Pursuit of Understanding, New York: Cambridge University Press, 2003. (Paperback Edition 2007; Chapter One reprinted in Duncan Pritchard and Ram Neta, eds., Arguing About Knowledge, London: Routledge, 2008.)
Warrant in Contemporary Epistemology: Essays in Honor of Plantinga's Theory of Knowledge,ed., Savage, MD: Rowman & Littlefield, 1996. (Contributors: BonJour, Conee, Feldman, Foley, Klein, Kvanvig, Lehrer, Lycan, Markie, Pappas, Plantinga, Sosa, Swain, van Fraassen).
The Intellectual Virtues and the Life of the Mind: On the Place of the Virtues in Contemporary Epistemology, in the Studies in Epistemology and Cognitive Theory Series, Paul K. Moser, general editor, Savage, MD: Rowman & Littlefield, 1992.
The Possibility of an All-Knowing God, London: Macmillan Press Ltd., Library of Philosophy and Religion, John Hick, general editor, 1986, and New York: St. Martin's Press, 1986.