The Israeli army said the country's Iron Dome anti-missile defence system intercepted eight of the rockets.
"So far 10 rockets have been fired from Gaza at Israeli civilians. Eight of those rockets were intercepted by the Iron Dome" anti-missile system, the military said on Twitter.
The rockets were fired in waves, the army said, adding that air raid sirens had sounded in southern Israel.
It also posted on Twitter a picture showing damage to a house.
"This family home in southern Israel was just hit by a rocket fired from Gaza," the military said.
It was the second consecutive evening that the army reported rocket fire from the Palestinian enclave, which is run by the Islamist group Hamas.
Prior to Thursday, there had been no such reported rocket fire from Gaza towards Israel since September 12.
In August, a series of rocket attacks from Gaza and Israeli retaliations, as well as border clashes, raised fears of an escalation between Hamas and Israel, as elections approached in the Jewish state.
Those polls - Israel's second elections this year - took place on September 17, but have yet to yield a new government.
Sworn enemies Israel and Hamas have fought three wars in the Palestinian enclave since 2008.
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