Kerry said Israel has a right to defend itself against frequent rocket attacks by Hamas from the Gaza Strip. He accused Hamas of attempting to sedate and kidnap Israelis through a network of tunnels that militants have used to stage cross-border raids. He also urged Hamas to "step up and show a level of reasonableness, and they need to accept the offer of a cease-fire."
Then, Kerry said, "we will certainly discuss all of the issues relevant to the underlying crisis."
The nearly two-week conflict appeared to be escalating as U.N. chief Ban Ki-moon headed to the region to try to revive cease-fire efforts. Kerry said he was planning to meet soon with Ban and was ready to travel to the Mideast immediately if needed.
The U.N. relief agency in Gaza estimates that 70,000 Palestinians have fled their homes in the fighting and are seeking shelter in schools and other shelters the United Nations has set up. The relief agency's top director in Gaza, Robert Turner, told CNN's "State of the Union" that the U.N. has run out of mattresses for refugees and few hygiene and medical supplies are left, although fresh food and water remain available.
"People are scared," Turner said. "They don't feel safe at home, they don't feel safe with their families or neighbors. They feel relatively safe in our instillations. ... We frankly have been overwhelmed by the numbers."
He said more than 1,000 homes in Gaza have been destroyed or damaged beyond repair, and at least 13,000 lightly damaged.
U.S. officials made clear, however, that Hamas could bring relief to the Palestinian people if it agrees to a cease-fire proposed by Egypt — a view that Israeli Prime Minister Benjamin Netanyahu is pushing as well.
Hamas has rejected the Egyptian plan and instead is relying on governments in Qatar and Turkey for an alternative plan. Qatar and Turkey have ties to the Muslim Brotherhood, which is also linked to Hamas but banned in Egypt.
Republican Sen. Lindsey Graham, a member of the Senate Armed Forces Committee, urged Israel to "stay as long as you need to stay, go wherever you need to go, do deal with a viper's nest called Hamas."
"If it's left up to Hamas, thousands of Israelis would be dead," Graham, R-S.C., told NBC's "Meet the Press."
Netanyahu agreed. In an interview with ABC's "This Week," he said Israel has tried to avoid killing Palestinian civilians through phone calls, text messages and leaflets dropped on their communities.
But Hamas doesn't "give a whit about the Palestinians," Netanyahu said. "All they want is more and more civilian deaths."
The prime minister said his top goal is to restore a sustainable peace, but then will ask the international community to consider demilitarizing Gaza to rid Hamas of its rockets and shut down the tunnels leading into Israel. Netanyahu brushed off a question about giving concessions to Hamas as a step toward peace, including releasing Palestinian prisoners or loosening border crossings.
"Hamas doesn't care," Netanyahu said. "I think the last thing you want to do is reward them."
Kerry also said any cease-fire agreement must be without conditions or "any rewards for terrorist behavior." He did to mention the Qatari or Turkish efforts.