Issa Qaraqe, the head of the Palestinian Committee of Prisoners Affairs, confirmed the deal on Saturday.
Other informed sources also said that the hunger strikers had halted their protest action following the agreement.
Since April 17, more than 1,600 Palestinian prisoners had been refusing food in a protest action, dubbed the Freedom and Dignity Strike. The strike was led by Marwan Barghouti, a jailed leader of the Palestinian Fatah movement.
The hunger strikers were demanding appropriate medical care and treatment in Israeli prisons, as well as an end to solitary confinement and the so-called administrative detention, which is a form of imprisonment without trial or charge.
There had lately been rising concerns about the health conditions of the Palestinian inmates; some of them had been taken to hospital with deteriorating health.
Not all of the details of the Saturday deal were immediately clear. Israeli media said that, under the agreement, Palestinian prisoners would be allowed two monthly family visits instead of one.
On Friday, Palestinian demonstrators turned out on the streets in the occupied West Bank and blockaded Gaza Strip to express their solidarity with the hunger strikers.
[caption id="" align="aligncenter" width="555"]
Palestinian protesters argue with Israeli soldiers during clashes in the West Bank town of Beita, May 26, 2017. (Photo by Reuters)[/caption]A Palestinian was injured with a live bullet and 11 others suffered tear gas inhalation during the scuffles in the West Bank town of Beita near the city of Nablus.
Additionally, the West Bank village of Qalandiya and the city of Khan Yunis in the Israeli-besieged Gaza witnessed similar clashes.
Some 6,500 Palestinians are currently being held in Israeli jails, 536 of them arbitrarily, according to figures provided by the Palestinian prisoners rights group Addameer in January. Palestinian inmates complain that they have been subjected to assault and torture at Israeli prisons.
