Flugumýri is a town and church site in the Blönduhlíð district of Skagafjörður, Iceland, at the base of Glóðafeykir mountain. It was, and is, a manorial estate. The town was the homestead of Þórir dúfunef (the dove-nosed) and, according to the "Landnámabók", it was named for the mare , a quality horse that owned. 
History.
 has, as a rule, been home to a large farm and various chieftains have lived there. During the Age of the Sturlungs, was one of the Ásbirningar family clan's estates, and Kolbeinn ungi ("the young") Arnórsson lived there from 1233 until he died in 1245. His widow gave the land to the Hólar diocese, but Gissur Þorvaldsson bought it from them, settled there in spring 1253, and built a large farm there. He got good use out of it, albeit not for long because on October 22, after the wedding feast for Gissur and Ingibjörg Sturludóttir's son Hallur, Gissur's enemies arrived in and tried to lock him inside the farm and burn it down. This event, known as the Flugumýri arson, is the most well-known in 's history. 
In 1360, the diocese reacquired the land when Bishop Jón skalli ("the bald") Eiríksson bought it, and the diocese owned the land until the turn of the 19th century when the farms were sold. In centuries past, the diocese's priests typically held their annual meetings in .
The town was a medical center in the early 19th century, when the region's doctor, Ari Arason, lived there. The Skagafjörður Women’s School () was in from 1880–1882, before it was closed down. The school had previously been in from 1878–1880 and, before that, was in in Hegranes in 1877, where it was founded. 
Now there is a large horse farm in and a tourist services operate out of the town.
Geography.
 hill overlooks the town of , abutting Glóðafeykir mountain, and there are ruins that may have been part of fortifications, possibly from the Age of the Sturlungs. The artifacts are protected. Two valleys run along the mountain: to the south and to the west. The river that runs through it is called but it used to be named . The side valley Ranghali splits off from the main valley to the northeast, and an old hiking trail goes through it over to Hjaltadalur. 
Flugumýri church.
There has been a church in for centuries and it is first mentioned in the "Sturlunga saga" in relation to the arson. 's on Hallur was carried into the church, where he died from fatal wounds. Gissur himself was also brought into the church after he emerged from his hiding place in the skyr-curdling barrel. The church was dedicated to the Apostle Peter. 
The current church was built during 1929 and 1930. It is served by priests from Miklibær.