It was located in the northern part of what is now Røros Municipality in Trøndelag county.

It was chosen to represent the area around the river Glåma, near the mouth of the lake Aursunden.

The first element is based on the name of the river Glåma (Old Norse: glaumr or raumr) which may mean "loud noise" or "thunder".

At the time of the municipal dissolution, it was part of the Røros prestegjeld and the Gauldal prosti (deanery) in the Diocese of Nidaros.

The municipal council (Herredsstyre) of Glåmos was made up of 13 representatives that were elected to four year terms.