The Iranian-made Fajr-5 rockets hit open areas, and no injuries or damage were reported, but a number of people were treated for symptoms of shock.
Video broadcast on Israeli TV showed two Israeli interceptor missiles streaking into the sky above Israel's commercial capital, Tel Aviv, and detonating.
About 40 minutes after the alarm, traffic was flowing normally on Tel Aviv's main highway. Israel holds Gaza's Hamas rulers responsible for all fire out of the territory.
A Hamas official told the The Times of Israel that the terror group "has no interest in an escalation" with Israel.
The Israeli military is reporting air-raid sirens in southern Israel, signaling new rocket fire out of the Gaza Strip.
Sirens were triggered Thursday evening in central Israel, as two rockets from Gaza were fired at the heart of the country for the first time since a major conflict in 2014, signaling a possible dramatic escalation of violence by terror groups in the Strip just weeks before the Knesset elections.
In response to the October fire, Israel struck 20 targets in Gaza, killing one Palestinian, according to the Hamas-run health ministry.
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A person familiar with the matter says Monday's subpoenas seek loan applications, mortgages and other records. But the reason for the new subpoenas, the Times noted, was Michael Cohen's recent testimony before Congress.
Islamic Jihad and the Popular Resistance Committees, two smaller Gaza armed factions, also denied responsibility.
"We are still checking which group did the firing. They were fired as a meeting was underway between the leadership of the Hamas movement and the Egyptian security delegation over the understandings regarding the Gaza Strip". But he said there were no special instructions and encouraged residents to stick to their daily routines.
Egypt's mission to Gaza has also been reported to be evacuating from the enclave as well. There was no confirmation of the unsourced reports.
Israeli soldiers stand near a battery of the Iron Dome defence system, created to intercept and destroy incoming short-range rockets and artillery shells.
Among those participating were Chief-of-Staff Lt. -Gen Aviv Kochavi, National Security Council head Meir Ben-Shabbat, Israel Security Agency (Shin Bet) head Nadav Argaman, and other senior security establishment officials.
The Hamas-controlled Gaza Interior Ministry labeled Thursday's rocket attacks targeting Tel Aviv "outside of the national consensus", with Hamas claiming it would clamp down on those responsible. The tensions further mounted in fall due to continued shelling and arson balloons launches from Gaza into the Israeli territory and Israeli strikes on Palestinian targets in response to these actions.