Aveliškės is a village in Molėtai District Municipality, in Utena County, Lithuania. Aveliškės lies at 158 m above sea level. The nearest city is Utena, 29 km to the north. Among the landmarks around are Molėtai Astronomical Observatory (8.4 km), Lithuanian Museum of Ethnocosmology (8.3 km) and Synagogue of Alanta (19.4 km).