Two stalagmites from a limestone cave in the Florentine Valley, Tasmania, dated by14C and uranium series methods, provide an estimate of palaeotemperatures on the basis of18O/16O analysis. One of the stalagmites shows continuous deposition between 98 ka and 55 ka BP at a uniform rate of 20 mm/ka. The δ18O data which have a positive relationship with mean annual temperature indicate slightly higher than present day temperatures at 95 ka BP, followed by a gradual decline, culminating in a temperature minimum at about 62 ka BP. This was followed by a rapid temperature rise to a peak still below present‐day temperature at about 57 ka BP.