The Damme Hills are a high, wooded ridge, up to 146 m above sea level (NN),[1] in the Oldenburg Münsterland in the southern part of the district of Vechta, in western Lower Saxony, Germany.

It is located in the Dümmer Nature Park near the town of Damme, which lies in the centre of the region, and between Lohne (some distance to the north), Steinfeld (to the north), Diepholz (roughly east-northeast), Neuenkirchen-Vörden (to the southwest) and Holdorf (to the northwest).

Together with their almost symmetrical counterpart, the Ankum Heights, the Damme Hills display the most marked glacial lobes of this push moraine.

The lake known as the Damme Bergsee, roughly 25 ha in area, provides a refuge for rare animals and plants, which are described by means of a nature trail.

There is a Bundeswehr-owned transmitter mast on the Signalberg and, on its northern slopes, is a 134 m high Deutsche Telekom telecommunication tower.