as-Suwayda District is a district of the as-Suwayda Governorate in southern Syria. The administrative centre is the city of as-Suwayda. …as-Suwayda District is a district of the as-Suwayda Governorate in southern Syria. The administrative centre is the city of as-Suwayda. At the 2004 census, the district had a population of 180,907.