Aeolian dunes, coversands, glacifluvial deltas and paraglacial mass‐movement deposits in Bonäsheden and Skattungheden in Dalarna, central Sweden were dated by optically stimulated luminescence (OSL) on quartz. The OSL ages confirm that the majority of the dunes started forming directly after deglaciation, as suggested by previous investigators. Dune formation seems to have lasted at least 1500 years, until c. 9 ka. Four younger episodes of sand drift resulting in coversand deposition were dated by OSL and/or radiocarbon to 4100±200 a, 1569–1412 cal. a BP, 970±60 a and 150±10 a. The youngest one is related to changes in land use, while the older ones may be due to regional climatic changes. The dated quartz had excellent luminescence characteristics; the luminescence was bright and dominated by the fast signal component, which made it possible to successfully analyse even untreated material, so‐called range‐finder dating. These characteristics are most likely inherited from one of the source rocks of the Quaternary deposits – the Mesoproterozoic Dala sandstone, which we show to also have very good luminescence properties.