From the World Heritage inscription:
Battir is a major Palestinian cultural landscape, the adaptation of a deep valley system for agricultural purposes as a result of a good supply of water. The complex irrigation system of this water supply has led to the creation of dry walls terraces which may have been exploited since antiquity. The agricultural terraces, exploiting this irrigation system, were the basis for a strong presence of agriculture through the cultivation of olives and vegetables. The area still today has the same use.
The water distribution system used by the families of Battir is a testament to an ancient egalitarian distribution system that delivers water to the terraced agricultural land based on a simple mathematical calculation and a clear time-managed rotation scheme.
The village of Battir is not far from Jerusalem and is right on the Israel/Palestine border. In fact, there are Israeli train tracks which go right past the terraces at the bottom of the hill.
I could not find any organized tours to Battir, which was a shame.