Hamas made a show of strength at funerals on Friday
Thousands of Palestinians in the West Bank have joined demonstrations after a call from Hamas for a "day of wrath" against the Israeli attacks on Gaza.
Five Palestinians, including three children, have been killed in the latest Israeli air attacks on Gaza.
More than 400 people are believed to have died in a week of raids on Gaza. Four Israelis have died in the rocket attacks Israel is trying to prevent.
The US said on Friday it wanted a "durable and sustainable" ceasefire.
But US Secretary of State Condoleezza Rice said any ceasefire should "not allow a re-establishment of the status quo ante, where Hamas can continue to launch rockets out of Gaza".
The BBC's Kim Ghattas in Washington says it is unclear what Ms Rice means by "sustainable ceasefire" or how it can be attained.
But it is a position that is widely interpreted as tacit backing by Washington for Israel to continue its military operation and try to weaken Hamas as much as possible, our correspondent says.
Friday's protests were called after an Israeli air strike hit the home of Nizar Rayan, a firebrand leader of Hamas who refused to go into hiding, killing him, and several of his wives and children.
"We will not rest until we destroy the Zionist entity," senior Hamas figure Fathi Hammad said at the funeral for the 20 people who died in that attack.
Palestinian youths clash with Israeli security forces in East Jerusalem
Meanwhile, about 100 foreign passport holders - mainly women married to Palestinians, and their children - have been allowed by Israel to leave Gaza. Correspondents say it is being seen as a possible last move before Israeli tanks roll in.
Israel is refusing to let international journalists into Gaza, despite a Supreme Court ruling to allow a limited number of reporters to enter the territory.
In the West Bank Palestinian protesters have been directing their anger not just at Israel but at Arab governments and their own leaders for their failure to stop the offensive.
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