The ceasefire deal, to come into effect at one minute past midnight on Monday, clinched days of frantic mediation to stem a firestorm of violence that resumed after an earlier truce collapsed on Friday.
"Israel has accepted the Egyptian proposal for a ceasefire," an official told AFP on Sunday shortly after a Palestinian source confirmed accepting the initiative.
The Egyptian foreign ministry called for the ceasefire to begin "given the necessity to protect innocent blood".
It called on both sides to use the lull to "reach a comprehensive and permanent ceasefire."
Israel had bolted truce talks in Cairo on Friday when Hamas refused to extend an earlier ceasefire and begun firing rockets over the border.
More than a month of bloody fighting in and around Gaza has killed at least 1939 Palestinians and 67 people on the Israeli side, most of them soldiers.
On the ground on Sunday, eight Palestinians were killed, including a woman and two 17-year-olds, in a barrage of Israeli air strikes and 10 bodies were pulled from the rubble east of Gaza City, local medics said.
Throughout the day, Israeli warplanes hit 41 targets, including a factory in Gaza City used to make cleaning products close to the main hotel where foreign journalists are based.
Militants launched 35 rockets over the border, 23 of which struck southern Israel and eight which were shot down, with the rest falling short inside Palestinian territory, the army said.
In Deir al-Balah, an angry crowd of young men bellowed slogans as they carried the bloodied body of one of the teenagers to its burial side.
The army described the youth as a "prominent terror operative".
"God loves martyrs! We will march on Jerusalem in our millions," chanted mourners.
For days, Egyptian efforts to broker an end to more than a month of fighting led nowhere.
"Israel will not engage in negotiations under fire," Prime Minister Benjamin Netanyahu told his cabinet on Sunday, warning the operation would not stop until there was a prolonged quiet.
In the West Bank, an 11-year-old Palestinian boy was shot dead by Israeli troops as he played outside his home in Al-Fawwar refugee camp near the southern city of Hebron, relatives and medics said.
The army said troops had opened fire during a "violent riot" but said it had opened an investigation into the circumstances of the shooting.
The resumption of fighting has put Netanyahu under increased pressure from hardliners to send ground troops back in to Gaza to topple Hamas, the de facto power in the battered Palestinian enclave.
"There is no doubt that the only thing left to do now is to overpower Hamas, clean out the territory and get out as quickly as possible," said Foreign Minister Avigdor Lieberman.
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