The Gelmke is a small stream, roughly 6 kilometres (3.7 mi) long, and right-hand tributary of the AbzuchtinLower Saxony, Germany. The stream flows through part of the town of Goslar.
The Gelmke rises in the Gelmke Valley (Gelmketal) at about 610 m above sea level (NN). Its source lies east-northeast of the hill known as the Dicker Kopf (668 m) and north of the Eichenberg (670 m).[2] It flows initially northwards through a densely wooded valley, where it is crossed by the E 11 European long-distance trail before emerging into open fields and swinging east, just above the old Goslar sewage ponds. It then heads north again to join the Abzucht near Goslar station.[2]