The Israeli military said that it shot down the drone spotted along the Israeli coastline, near the city of Ashdod.
Hamas' military wing said in a statement that it has sent a number of drones on missions inside Israel and would provide more details in due course.
About 17,000 people from the Beit Lahiya area in the northern Gaza Strip streamed for protection into UN-run facilities after Israel yesterday warned residents of the area to leave their homes.
Despite the concentrated attack, militants continued to fire rockets at a broad swath of Israel. A teenager became the second Israeli civilian to be severely wounded in six days of fighting when two rockets landed in the city of Ashkelon. No Israelis have been killed by the rocket strikes.
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Israeli air strikes today hit three training facilities of Hamas's military wing and buildings in Gaza city, causing injuries.
While the Israeli attacks have killed some militants, around 70 per cent of the fatalities were civilians, according to the United Nations. Of the dead, more than 30 are children, the UN reported.
Israel has massed thousands of troops on the border with Gaza amid warnings it is prepared to launch a ground invasion. Israeli commandos carried out their first reported ground incursion yesterday, attacking a suspected rocket launch site.
Israel said its forces have struck 1,470 "terror targets" across Gaza, including 770 concealed rocket launchers.
International efforts to press Israel and Hamas into negotiating a ceasefire have failed to gain any momentum.
"Hope for peaceful resolution seems to be even further away," German Foreign Minister Frank-Walter Steinmeier said yesterday.