Glacierised valleys create unique local-scale winds. Most glaciers in the world are ungauged, making it hard to estimate the melt contribution of heat exchanged by these winds. We developed a model that predicts wind speed on any glacier without requiring any in-situ data, enabling wind predictions on ungauged glaciers. Our predictions are about three times more accurate than a standard climate product, helping improve estimates of glacier melt and runoff in a warming climate.