The civil parish has an area of 6.24 square kilometres and in 2001 had a population of 493 in 199 households. For the purposes of local government, the parish falls within the district of South Norfolk.
Wreningham, supposedly, got its name from the Witch and the Wren story. It is said that a witch who lived in Wreningham heard that the Witch Hunters were coming for her. She disguised herself as a Wren and got away.