Simultaneous high-precision measurement of Mg-24, Mg-25 and Mg-26 isotopic compositions were made by multiple collector inductively coupled mass spectrometry (MC-ICP-MS) relative to the international standard SRM980. Data are presented on low-Mg calcite speleothems and their associated host rocks and waters from four caves, one in the French Alps and three in Israel, covering various climate conditions. In addition, data are presented on three dolostones and three limestones from the Himalaya. The overall variation is 4.13parts per thousand and 2.14parts per thousand in delta(26)Mg and delta(25)Mg, respectively. This is 35 times the uncertainty of the measurements and clearly demonstrates that the terrestrial isotopic composition of Mg is not unique. Each speleothem shows a characteristic range of delta(26)Mg values that are attributed to the isotopic composition of the local water. Differences between the isotopic composition of Mg in the water dripping from stalactites and that of the modern speleothem are interpreted as being due to Mg isotopic fractionation during carbonate precipitation in the temperature range of 4-18degreesC. The low-Mg calcite is enriched in light isotopes by 1.35parts per thousand/AMU and the dependence on temperature has been found to be less than 0.02parts per thousand/AMU/degreesC. Despite various geological settings, the delta(26)Mg of the studied dolostones is 2.0+/-1.2parts per thousand higher than the delta(26)Mg of the limestones. All together, these results suggest a strong mineralogical control and a weak temperature effect on the Mg isotopic composition of carbonate. (C)2002 Elsevier Science B.V. All rights reserved.