The Gelmke is a small stream, roughly 6 km long, and right-hand tributary of the Abzucht in Lower Saxony, Germany. The stream flows through part of the town of Goslar.

Geography

The Gelmke rises in the Gelmke Valley (Gelmketal) at about. Its source lies east-northeast of the hill known as the Dicker Kopf (668 m) and north of the Eichenberg (670 m). 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.