Grue is a municipality in Innlandet county, Norway. It is located in the traditional district of Solør. The administrative centre of the municipality is the village of Kirkenær. Other villages in the municipality include Bergesida, Grinder, Namnå, Risberget, Rotberget, Skasenden, and Svullrya.

The 837-square-kilometre (323 sq mi) municipality is the 136th largest by area out of the 357 municipalities in Norway. Grue is the 193rd most populous municipality in Norway with a population of 4,513. The municipality's population density is 5.4 inhabitants per square kilometre (14/sq mi) and its population has decreased by 8.4% over the previous 10-year period.

The parish of Grue was established as a municipality on 1 January 1838 (see formannskapsdistrikt law). In 1867, the southern district of Grue Municipality (population: 3,946) was separated to become the new Brandval Municipality. This left Grue Municipality with 6,464 residents. In 1941, a small area of Grue Municipality (population: 68) was transferred to the neighboring Brandval Municipality. During the 1960s, there were many municipal mergers across Norway due to the work of the Schei Committee. On 1 January 1969, the Rotberget farm area (population: 23) was transferred from Åsnes Municipality to Grue Municipality. On 1 January 1974, an unpopulated part of the Lystad area was transferred from Grue Municipality to the neighboring Kongsvinger Municipality.

Historically, the municipality was part of the old Hedmark county. On 1 January 2020, the municipality became a part of the newly-formed Innlandet county (after Hedmark and Oppland counties were merged).

The municipality (originally the parish) is named after the old Grue farm (Old Norse: Grǫf or Grǫfa) since the first Grue Church was built there. The name is identical with the word grǫf or grǫfa which means "depression" or "hollow".

The coat of arms was granted on 30 October 1992. The official blazon is "Per bend sinister rayonny of wolf-teeth argent and vert" (Norwegian: Venstre skrådelt av sølv og grønt ved buet ulvetannsnitt). This means the arms have are divided with a diagonal line that is rayonny, meaning it looks like curved wolf teeth rather than a straight line. The field (background) below the line has a tincture of Vert (green). Above the line, the field has a tincture of argent which means it is commonly colored white, but if it is made out of metal, then silver is used. The flame-like line represents the clearance of farms in the woods by the use of fire and is also a remembrance of the gruesome church fire of 1822. The colors symbolize the forests and the Glomma river. The arms were designed by Harald Hallstensen. The municipal flag has the same design as the coat of arms.

The Church of Norway has two parishes (sokn) within Grue Municipality. It is part of the Solør, Vinger og Odal prosti (deanery) in the Diocese of Hamar.

Grue Municipality is situated around the Glomma river and the geography is dominated largely by forests and some agricultural areas around Glomma. It is located in the southeast part of Innlandet county. It is bordered on the south by Kongsvinger Municipality, on the north by Åsnes Municipality, and on the west by Nord-Odal Municipality. To the east, it borders Sweden.