Most young lavas on Mars lie north of the equator, and their emplacement would have caused True Polar Wander (TPW). We calculate the TPW driven by late-stage (Late Hesperian and Amazonian) surface loads for a range of lithospheric thicknesses, load masses, and prior TPW histories. For a range of plausible parameters, we obtain geologically significant (1°-17°) TPW. The poles defined by the areal centroids of the youngest polar caps on Mars are offset from those defined by underlying and adjacent paleopolar materials. In both the north and south, this offset is compatible with late-stage TPW, requiring (4.4±1.3) x 10^19 kg of young volcanism.If Martian and terrestrial magmas contain similar amounts of CO2, we estimate that 5.8±1.8 mbar of CO2 have been released into the Martian atmosphere since the mid-Hesperian, comparable to the present-day atmosphere.We also predict that the north polar deposits span a substantial fraction of Solar System history.