Civil defence agency spokesman Mahmud Bassal told AFP on Saturday that "19 people were killed and more than 40 wounded" by predawn Israeli air strikes and tank fire.
Umm Muhammad Abu Sabla, the sister of one of the victims of Saturday's strikes, told AFP she rushed to the scene to find "people carrying body parts from under the rubble".
"Our entire life is misery. Let them kill us all so we can be relieved from this suffering," the 62-year-old said in the main southern city of Khan Yunis.
The war has created a humanitarian crisis in the besieged territory, where people are experiencing acute shortages of food, fuel and medicine.
Marwan al-Hams, director of Gaza's field hospitals, told reporters on Friday that all hospitals in the Palestinian territory "will stop working or reduce their services within 48 hours due to the occupation's (Israel's) obstruction of fuel entry".
The United Nations and others have repeatedly decried humanitarian conditions, particularly in northern Gaza, where Israel said Friday it had killed two commanders involved in Hamas's October 7, 2023 attack.
Vowing to stop Hamas from regrouping, Israel on October 6 began a renewed air and ground operation in the north.
Gaza's health ministry says the operation has killed thousands.
The UN says more than 100,000 have been displaced from the area, and an official told the Security Council last week that people "are effectively starving".
'Absurd' warrants
The Hague-based International Criminal Court announced on Thursday that it had issued arrest warrants for Israeli Prime Minister Benjamin Netanyahu and former defence minister Yoav Gallant over their conduct of the war in Gaza.
The court said there were "reasonable grounds" to believe the pair bore "criminal responsibility" for the war crime of starvation as a method of warfare and crimes against humanity, including over "the lack of food, water, electricity and fuel, and specific medical supplies".
A furious Netanyahu said: "Israel rejects with disgust the absurd and false actions and accusations made against it."
The ICC also issued a warrant for Hamas military chief Mohammed Deif, saying it had grounds to suspect him of war crimes and crimes against humanity over the October 7 attack on Israel, including "sexual and gender-based violence" against hostages.
Israel said it killed Deif in July, but Hamas has not confirmed his death.