This article demonstrates the relevance of Kant to the interpretation of contemporary art. The defining properties of contemporary art are the impossibility of definition in material, formal or stylistic terms, and the central role that concepts play in the interpretation of a work. Danto and Osborne suggest how concepts might be applied but they do not develop their proposals. Kant’s theory of judgement can provide a fuller account on the basis of the notions of purposiveness and play. The way in which these notions explain the application of concepts to the world, I argue, provides a model of how concepts can be combined to form an interpretation of a work of contemporary art. A detailed example is given.