This article examines the relationship between Jeremy Waldron’s supersession thesis and compensation. Recently, Waldron has argued that claims for material compensation for the original injustice cannot be superseded. He limits supersession to issues of restitution. Waldron’s supersession thesis is frequently cited by opponents of claims based on historical injustice, so his view of compensation warrants close examination. In our article, we explain the details of Waldron’s ‘simple model’ of compensation, offer an internal critique of it, and try to sympathetically reconstruct (...) it. We contend that a crucial claim about this model does not work; his model would result in many more backward-looking compensatory claims than he realizes. Waldron’s allowing for material compensation claims from historical injustice is in tension with, or incompatible with, his long-expressed view that the spirit of the supersession thesis is that justice should be forward-looking and look to present-day costs. We have argued elsewhere that the abstract possibility that restitution claims may be superseded due to changing circumstances (what we call the ‘supersession thesis proper’) is separable from the question of whether justice has a forward-looking or backward-looking orientation. We argue here that Waldron’s model of compensation can best be made sense of through our distinction of ‘full supersession’ and ‘partial supersession.’ This allows us to show that Waldron’s model relies on a more strongly backward-looking orientation than he seems to endorse in his earlier works on restitution and his most recent article discussing compensation. We conclude by offering external criticisms of Waldron’s model of compensation. (shrink)