Injuries were also reported on both sides.

Smoke plumes could be seen rising from Gaza City following the military's announcement it was targeting "terror sites in the Gaza Strip".

A Palestinian was killed in northern Gaza, while at least six were wounded in raids aimed targeting sites across the strip, the Hamas-run Gazan health ministry said.

The strikes came after at least two of dozens of rockets launched from the coastal enclave hit the Israeli town of Sderot, near Gaza's northern border, police and the army said.

One person was lightly wounded by shrapnel while several others were treated for shock in Sderot, the United Hatzalah medical service said.

A statement from the military wing of Hamas, the Islamist group that runs Gaza, claimed responsibility for the rockets.

It said the Palestinian "resistance" had fired a large number of rockets at "enemy positions in the Gaza envelope."

Sirens were sounded in several Israeli areas close to the border with Gaza, warning residents to seek immediate shelter, the Israeli army said.

"As of now, approximately 70 rocket launches were identified from the Gaza Strip at Israeli territory," the army said in a statement.

The majority hit open areas while 11 were intercepted, it said.

Israeli television broadcast images of a house and cars reportedly damaged by the rockets in Sderot.

Parts of the town have been closed off and police bomb disposal units were at the scene of the strikes, a spokesman for the force said.

--Alarm--

The United Nations condemned the Hamas rocket fire.

"I am deeply alarmed by the recent escalation of violence between Gaza and Israel, and particularly by today's multiple rockets fired towards communities in southern Israel," UN envoy Nickolay Mladenov said in a statement.

He called on all sides to step "back from the brink."

The strikes came after two fighters from the military wing of Hamas, which rules Gaza, were killed by Israeli fire on Tuesday.

Hamas warned Israel -- with which it has fought three wars since 2008 -- it would pay for the attack.

The escalation comes after the Hamas leadership convened for a rare meeting in Gaza on Friday.

The gathering had raised hopes a deal for a lasting truce with Israel, with the backing of Egypt and the United Nations.

Clashes along the Gaza border since the end of March have seen at least 163 Palestinians killed by Israeli fire.

One Israeli soldier has been shot dead by a Palestinian sniper.

Israel and Hamas have fought three wars since 2008.

The last war in 2014 ended with a tense ceasefire and analysts say another round of conflict remains likely.