The fighting comes on the eve of the Muslim holy month of Ramadan, and as Israel gets ready for Independence Day celebrations later this week.
At least 23 Palestinians, including two pregnant women and a 14-month-old baby girl, have been killed since Friday.
"We see Iranian fingerprints mostly in the Gaza Strip focused on the Palestinian Islamic Jihad but not limited to... that materializes in money weapons logistic support, military training and of course political guidance".
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"They were a gross and blatant violation of global law, and the Israeli actions to neutralize rocket launchers and prevent further attacks are entirely justified", Hoyer said in a statement. "We support Israel 100 [percent] in its defence of its citizens", Trump said on Twitter Sunday.
House Majority Leader Steny Hoyer defended Israel and demanded that Hamas "immediately stop launching rockets into Israel".
Armed factions in Gaza said that they had agreed to a cease-fire with Israel that took hold in the early hours of Monday morning, after militants fired more than 600 rockets toward Israel, which responded with airstrikes.
Israel, for its part, will facilitate the money transfer to Ramallah and the suitcases of cash to Gaza City (banks are prohibited from handling money transfers to Hamas because it is on the U.S. list of terror organizations).
Though most were intercepted by the country's defense "Iron Dome" defense system, at least four Israelis were killed and dozens of homes were destroyed in the attacks. Next week, Israel is to host the popular Eurovision song contest and the backdrop of fighting would have likely overshadowed the occasions and deterred foreign tourists.
That truce saw Israel allow Qatar to provide millions of dollars in aid to Gaza, paying salaries and financing fuel purchases to ease severe electricity shortages.