The rocket would have had to travel some 120 kilometres (75 miles) from Rafah in the southern Gaza Strip, where Israel said it was sacked from. The border appeared to have calmed down by night-time.
Israeli gunfire killed more than 220 Palestinians since the start of the demonstrations, which have included breaches of Israel's border fence. The military had refused to comment on the reports at the time. Hezbollah said they discussed the Gaza situation and "Israeli aggression".
In one Gaza neighborhood, people rushed to by bread in anticipation of a long escalation.
Hamas' radio station says an Israeli airstrike demolished the offices of Haniyeh.
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Gazan officials have not claimed responsibility for the rocket, but are reportedly preparing for retaliation.
Netanyahu cut short the high-profile visit to Washington due to the attack, which prompted the military to deploy troops along Israel's southern border.
Beset by corruption scandals, he faces a strong challenge from a centrist coalition led by a top general. He was scheduled to give a keynote address at the American Israel Public Affairs Committee Policy Conference on Tuesday and participate in a celebratory state dinner with US President Donald Trump at the White House.
"Israel will not tolerate this. I will not tolerate this", Netanyahu said. "Israel is responding forcefully to this wanton aggression".
It was the furthest a rocket has reached in Israel since the 2014 conflict in Gaza.
Netanyahu has been criticized in the past by members of his own government coalition for being too soft on Hamas, the militant Islamist group that governs the Palestinian enclave.
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The West Ham player said he was sorry for any offence caused by his comments. Imagine, just imagine, if Chelsea sold Hudson-Odoi to Liverpool .
And on Saturday, the Israeli army launched two separate air strikes against groups of Palestinians in Gaza who had allegedly flown balloons rigged with explosives into Israel. It was targeted alongside IDF strikes conducted throughout the Gaza Strip.
The outburst comes at a sensitive time for both sides.
Six people inside the home were injured when the rocket landed, including a woman in her 50s who suffered light to moderate injuries, said Magen David Adom, Israel's emergency response team, in a statement. An earlier blast destroyed a multistory building in Gaza City that Israel said had served as a Hamas military intelligence headquarters.
"We heard the siren and we didn't think it was anything, but my daughter made us go into the reinforced room", said Ms Castelnovo, still in her pajamas. On the one hand, that's totally understandable; we aren't used to rocket fire in the Tel Aviv area, and certainly not rockets that exact such a devastating price. One Israeli soldier has been killed. The protesters demand the right to return to land from which their ancestors fled.
Israel and Hamas later agreed to a ceasefire brokered by Egypt, a senior Palestinian official told Reuters.
Trump stressed Israel's right to "defend itself" as the USA recognized in an official proclamation Israel's sovereignty over the Golan Heights.
Two Palestinians killed by Israeli fire in Gaza border clashes
Five central and eastern European countries joined Australia, Fiji and Brazil in opposing the measure. Since then, about 190 Palestinians and an Israeli soldier have been killed during the weekly rallies.