 A good deal of work on presentism in the philosophy of time concerns itself with truth. In the current context, the work in question focuses on whether (and, if so, how) presentism can account for the different kinds of true proposition that we endorse. Our primary focus will be on how to defend presentism whilst giving appropriate ontological explanations for the truth of true claims about past things (with the “truth-making” literature as the background). We also briefly address a related problem of truths about spans of time, which is sometimes treated as a separate issue concerning quantification over times.