Gaza-Israel: Palestinian National Initiative calls for end to 'siege'
5 August 2014 Last updated at 10:23 BST
Israel has announced the withdrawal of all of its troops to "defensive positions" outside the Gaza Strip.
The move came moments before the latest truce - brokered by Egyptian mediators late on Monday - came into force at 08:00 local time (05:00 GMT).
Mustafa Barghouti, leader of the Palestinian National Initiative, has said that Israel must withdraw from all Palestinian territories in Gaza before a deal can be made with Israel.
Mr Barghouti spoke to the BBC about the conditions the Palestinians are calling for to end the current conflict.