Eliav was founded in 2004 and was initially named Haruv (חָרוּב) after the eponymous carob tree which grow in the region of the community. Secular, traditional and religious Jews live there and join as partners in education, Judaism and culture. The community supports the environment and is part of the ecosystem of the Shephelah. Planning and construction in the community is focused on preserving the environment.
In 2011, the name of the village changed to Eliav, in memory of Aryeh Eliav, a politician and activist.
- "List of localities, in Alphabetical order" (PDF). Israel Central Bureau of Statistics. Retrieved 16 October 2016.