The Israeli military says it has bombed the home of the political leader of the Palestinian militant group Hamas in a wave of air strikes on the Gaza Strip.

It released video of an exploding bomb which it said had hit the home of Yahya Sinwar, the group's overall leader in the territory.

Israeli air strikes in Gaza killed at least 33 people early on Sunday, officials there said.

Militants fired rockets at Israel, with a new barrage on Sunday afternoon.

Israeli Prime Minister Benjamin Netanyahu has vowed to "continue to respond forcefully" to rocket attacks. Israel has recorded nearly 3,000 rocket launches since Monday.

A UN Security Council meeting is set to take place later on Sunday and the 57-nation Organization of Islamic Cooperation is holding virtual emergency talks.

US President Joe Biden phoned Mr Netanyahu and Palestinian President Mahmoud Abbas to express concern about the situation on Saturday.

Since the fighting began on Monday at least 181 people have been killed in Gaza, including 52 children and 31 women, with 1,225 injured, according to the Hamas-controlled health ministry. Israel says dozens of militants are among the dead.

Ten people, including two children, have been killed by militant attacks on Israel, Israeli officials say.

The flare-up of violence over the last six days came after weeks of increasing Israeli-Palestinian tension in East Jerusalem, which culminated in clashes at a holy site revered by both Muslims and Jews. Hamas - the Palestinian militant group that runs Gaza - began firing rockets after warning Israel to withdraw from the site, triggering retaliatory air strikes.

Israel's military said it had struck the homes of both Yahya Sinwar and his brother Muhammad Sinwar, whom it described as head of logistics and manpower for Hamas.

Both residences had, it said, "served as military infrastructure" for Hamas.

Local sources confirmed to media that the Hamas leader's home in the Gaza town of Khan Younis had been bombed. There were no immediate reports about the fate of the two brothers.

Multiple air strikes rocked Gaza City during the night, with dozens of people reported missing under the rubble of homes, said the BBC's Rushdi Abualouf in Gaza.

"I have never covered air strikes with such intensity, explosions are everywhere in Gaza, there are difficulties in communicating with officials to find out where the strikes are," he said on Twitter.

"The building in which I live in [the] western part of the city shook like an earthquake," he said. "A hysterical state of chaos, children and women in the building that houses more than 200 people screaming."

According to the Hamas-run health ministry, 33 people were killed and 50 injured in Gaza overnight, with eight children and 12 women among the dead.

Shortly after noon, rockets were launched by militants in Gaza against Ashkelon, Ashdod, Netivot and other parts of central and southern Israel, according to Israeli media. There were no immediate reports of casualties.

Some 120 rockets had been launched overnight but there were no reports of serious injuries.

Blaming the militants for the conflict. Mr Netanyahu said strikes would continue for "as long as necessary" and everything possible was being done to limit civilian casualties.

On Saturday, the Israeli military blew up a tower block in Gaza City used by international media after issuing warnings to evacuate it.

President Biden told Mr Netanyahu he continued to support Israel's right to defend itself. He expressed concern over deaths on both sides and called for journalists to be protected.

Speaking to President Abbas, the US leader said he was committed to "strengthening the US-Palestinian partnership". He also said the Hamas rocket fire into Israel had to stop.

President Abbas, who is based in the occupied West Bank, has little power in Gaza but the US will not speak to Hamas, which it regards as a terrorist organisation.

Mr Biden told both leaders he remained committed to finding a two-state solution to the conflict.

US envoy Hady Amr is having talks with top Israeli officials including Israeli Defence Minister Benny Gantz on Sunday.

Ahead of the Security Council meeting, UN Secretary General Antonio Guterres reminded all sides "that any indiscriminate targeting of civilian and media structures violates international law and must be avoided at all costs".

EU foreign ministers are to discuss the conflict in video talks on Tuesday. German Foreign Minister Heiko Maas urged Israel and the Palestinians to resume talks.

"What is needed now is: 1. an end to the rocket attacks, 2. an end to the violence and 3. a return to talks... on a two-state solution," he tweeted (in German).

Pope Francis urged the warring sides to "end the clamour of weapons and to take the path of peace".

"Many innocent people have died, amongst them there are also children," he said in a weekly address to the Catholic faithful gathered in Saint Peter's Square. "This is terrible. Unacceptable. Their death is a sign that [people] don't want to build a future but destroy it... I wonder where hatred and revenge will lead?"

Pro-Palestinian protests were held across the world on Saturday, from Europe to the Americas. In central Paris, police used tear gas and water cannon to disperse an illegal demonstration while in London, nine police officers were hurt during clashes with protesters outside the Israeli embassy.