In summer 1998 detailed measurements of ablation were carried out on the Waldemar Glacier in order to determine its spatial and time variation. Five-days' average ablation was equal to 14.7 cm water equivalent (w.e.), with maximum total ablation of 160-180 cm w.e. at 200 m a.s.l., and the lowest ablation of 106 cm w.e. at 350 m a.s.l. Total ablation for the whole glacier was estimated at 120.5 cm w.e. Simplified scheme of changes of summer ablation with altitude was exampled by this glacier. Relation between discharge from individual fragments of the Waldemar Glacier and their ablation was examined. Discharge of the Waldemar River was analysed: from about 4,800,000 m3 of water in the stream, 67% came from surface ablation of the Waldemar Glacier.