Israeli soldiers have killed more than 200 Palestinians in the clashes, according to the Palestinian Ministry of Health, with thousands of others injured.
Addressing the unrest, Israeli Defense Minister Avigdor Lieberman made a decision to cut Qatari fuel shipments into the Gaza Strip in response to the mass protests.
The Palestinian protesters are demanding an end to an Israeli and Egyptian blockade on the narrow coastal strip, which is home to around two million Gazans.
Israeli police said on Saturday they were investigating the death of a Palestinian woman in the occupied West Bank, after her husband said he suspected Israeli settlers had pelted their auto with rocks.
The health ministry said 192 Palestinian demonstrators were injured.
Ahead of the protests Friday, Haniyeh seemed to be championing a possible peace agreement with Israel that has been in discussions recently, much to the behest of the Palestinian Authority (PA), which has become increasingly sidelined in the negotiations involving other states in the region as well as the UN.
In the meantime, the IDF stated that a group of terrorists had attacked an Israeli outpost on the border.
Israeli security personnel have been deployed in large numbers around the Palestinian village of Khan al-Ahmar, sources said.
Al-Rawbi, 47 and a mother of eight, was pronounced dead at hospital late on Friday from a head injury sustained in the stone-throwing incident, according to Palestinian news agency Wafa. He says her husband saw a small group of settlers nearby.
The area is near several ultranationalist Jewish settlements.
A Palestinian assailant armed with a knife attacked the soldier, 32, outside of the Shomron Regional Brigade headquarters in the northern West Bank, near the settlement of Itamar.
During this orgy of violence Palestinian Arabs threw grenades, Molotov cocktails and improvised explosive devices at IDF positions along the border while Hamas also started to attack IDF soldiers at night.
The Israeli military said it opened fire on crowds who breached the security barrier separating Israel and the Palestinian territories and approached an army post. No Israeli troops were harmed, the army added.