Elverum is a municipality in the county of Hedmark, Norway. Elverum lies at an important crossroads, with Hamar to the West, Kongsvinger to the South, and Trysil on the Swedish border to the northeast. It is bordered on the north by Åmot municipality, in the north east by Trysil municipality, in the south east by Våler and in the west by Løten.
The municipality (originally the parish) is named after the old farm Elverum (Norse Alfarheimr), since the first church was built here. The first element is the genitive case of elfr f (here Glomma), the last element is heimr m 'home, homestead, farm'.