The Gleaner Heights are a series of elevations extending for southwest from Leslie Hill in the eastern part of Livingston Island in the South Shetland Islands, Antarctica. They are separated from Leslie Hill by Elhovo Gap, and from Hemus Peak off the northwest extremity of Bowles Ridge by Gurev Gap. The feature is heavily glaciated, with a small rock exposure on its northwest slopes. Gleaner Heights surmount Saedinenie Snowfield to the northwest, Kaliakra Glacier to the east and Perunika Glacier to the southwest. The first ascent was by the Bulgarian Doychin Vasilev from Camp Academia on 25 December 2004, as part of Tangra 2004/05 survey.