Menge is one of the 20 woredas in the Benishangul-Gumuz Region of Ethiopia. Part of the Asosa Zone, it is bordered by Asosa in the southwest, by Komesha in the west, by Sherkole in the north, by Kamashi Zone in the northeast, and by the Dabus River on the east which separates it from Oda Buldigilu. This woreda is named after its only town, Menge.
The 2007 national census reported a total population for this woreda of 40,240, of whom 20,248 were men and 19,992 were women; 1,101 or 2.74% of its population were urban dwellers. The majority of the inhabitants said they were Moslem, with 98.74% of the population reporting they observed this belief.
Based on figures from the Central Statistical Agency in 2005, this woreda has an estimated total population of 38,503, of whom 19,115 are men and 19,388 are women; 318 or 0.83% of the population are urban dwellers. With an estimated area of 1,500.63 square kilometers, Menge has a population density of 25.7 people per square kilometer which is greater than the Zone average of 19.95.