The bombardment brings the front lines closer to dense civilian areas in Gaza and paves the way for a potential ground invasion.
Israel has massed troops along the border and called up 9,000 reservists following days of fighting with the Islamic militant group Hamas, which controls Gaza.
Palestinians militants have fired some 1,800 rockets and the Israeli military has launched more than 600 air strikes, toppling at least three apartment blocks.
The fighting came as communal violence in Israel erupted for a fourth night, with Jewish and Arab mobs clashing in the flashpoint town of Lod.
The fighting took place despite a bolstered police presence ordered by the nation's leaders.
Red flames illuminated the skies as the deafening blasts from the outskirts of Gaza City jolted people awake.
In the northern Gaza Strip, Rafat Tanani, his pregnant wife and four children were killed after an Israeli warplane reduced the building to rubble, residents said.
Sadallah Tanani, a relative, said the family was "wiped out from the population register" without warning. "It was a massacre. My feelings are indescribable," he said.
Lt Col Jonathan Conricus, a military spokesman, said tanks stationed near the border fired 50 rounds.
It was part of a large operation that also involved air strikes and was aimed at destroying tunnels beneath Gaza City used by militants to evade surveillance and air strikes, which the military refers to as "the Metro".
"As always, the aim is to strike military targets and to minimise collateral damage and civilian casualties," he said.
"Unlike our very elaborate efforts to clear civilian areas before we strike high-rise or large buildings inside Gaza, that wasn't feasible this time."
The strikes came after Egyptian mediators rushed to Israel for ceasefire talks that showed no signs of progress.
Saleh Aruri, an exiled senior Hamas leader, told the satellite channel Al Araby that his group has turned down a proposal for a three-hour lull.
He said Egypt, Qatar and the United Nations were leading the truce efforts.
The fighting broke out late on Monday when Hamas fired a long-range rocket at Jerusalem in support of Palestinian protests there against the policing of a flashpoint holy site and efforts by Jewish settlers to evict dozens of Palestinian families from their homes.
Since then, Israel has attacked hundreds of targets in Gaza, causing massive explosions across the densely populated territory.
Gaza militants have fired 1,800 rockets into Israel, including more than 400 that fell short or misfired, according to the military.
The rockets have brought life in parts of southern Israel to a standstill, and several barrages have targeted the seaside metropolis of Tel Aviv, some 45 miles away from Gaza.
Gaza's health ministry said the death toll has climbed to 109 Palestinians, including 28 children and 15 women, with 621 people wounded.
The Hamas and Islamic Jihad militant groups have confirmed 20 deaths in their ranks, though Israel says that number is much higher.
Seven people have been killed in Israel, including a six-year-old boy and a soldier.
Israeli prime minister Benjamin Netanyahu vowed to continue the operation, saying in a video statement that Israel would "extract a very heavy price from Hamas".
In Washington, US president Joe Biden said he spoke with Mr Netanyahu about calming the fighting but also backed the Israeli leader by saying "there has not been a significant over-reaction".
He said the goal now is to "get to a point where there is a significant reduction in attacks, particularly rocket attacks".
He called the effort "a work in progress".
Israel has come under heavy international criticism for civilian casualties during three previous wars in Gaza, a densely populated area that is home to more than two million Palestinians.
It says Hamas is responsible for endangering civilians by placing military infrastructure in civilian areas and launching rockets from them.
Hamas showed no signs of backing down.
It fired its most powerful rocket, the Ayyash, nearly 120 miles into southern Israel. The rocket landed in the open desert but briefly disrupted flight traffic at the southern Ramon airport.
Hamas has also launched two drones that Israel said it quickly shot down.
Military spokesman for Hamas, Abu Obeida, said the group was not afraid of a ground invasion, which would be a chance "to increase our catch" of dead or captive soldiers.
The fighting cast a pall over the Muslim holiday of Eid al-Fitr, normally marked by family gatherings and festive meals. Instead, the streets of Gaza were mostly empty.
The current eruption of violence began a month ago in Jerusalem. A focal point of clashes was Jerusalem's Al-Aqsa Mosque, built on a hilltop compound that is revered by Jews and Muslims.
Israel regards all of Jerusalem as its capital, while the Palestinians want east Jerusalem, which includes sites sacred to Jews, Christians and Muslims, to be the capital of their future state.
The violent clashes between Arabs and Jews in Jerusalem and other mixed cities across Israel has meanwhile added a new layer of volatility to the conflict not seen in more than two decades.
Reporting by PA
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