Krems, River, Upper Austria, southern tributary of the River Traun. The Krems rises south of the Kremsmauergipfel mountain (alt. 1,604 m) in the Eisenwurzen region in Upper Austria, flows through the alpine foothills and joins the Traun south of Linz. It has an annual average discharge of 6 m³/sec. (Kremsdorf). The main municipality in the area is Kremsmünster (alt. 384 m).