The Kosciuszko Massif in the Snowy Mountains represents the only area of irrefutable Pleistocene glaciation on the Australian mainland. However, considerable controversy dates back to the 19th century as to the timing and extent of the glaciation. To review the evidence, we remapped glacial landforms on the Massif and found that the maximum extent of glaciation was within the ‘probable’ limits drawn by Galloway (1963). There is evidence for at least 2 glaciations, the first consisting of at least one advance and the second consisting of at least three advances. To place numerical ages on the glaciations we exposure-dated 24 boulders from the moraines sequences at Blue Lake and Lake Cootapatamba, making them some of the best dated sequences in the Southern Hemisphere. Exposure dating is based on measuring the accumulation of cosmogenic isotopes in minerals from rock surfaces, in this case 10Be in quartz. The dates indicate that the first glaciation (the Early Kosciuszko) which was also the most extensive, occurred ~55-65,000 years ago. The last glaciation, the Late Kosciuszko, consisted of three advances which were progressively less extensive and occurred between ~15,000 and ~35,000 years ago.