Maps are presented for the glacier surface and the bedrock of two areas on Vatnajökull - Tungnárjökull and Sylgjujökull in the western ice cap and Eyjabakkajökull in the northeast. The ice surface maps are obtained by precision barometric altimeter. They form the basis for delimitation of ice drainage basins. The bedrock maps are the results of radio echo soundings. Both maps are used for defining the water drainage basin which is estimated 121 km2 for the river Tungná, 85 km2 for the rivers from Sylgjujökull and 117 km2 for the rivers from Eyjabakkajökull.