The military said troops had secured twenty two locations in southern Israel but were still sweeping through another eight.
The surprise attack by hundreds of gunmen from Hamas, under the cover of intense rocket fire, has reportedly killed at least six hundred people in Israel.
More than three hundred and ten people in Gaza have been killed in retaliatory Israeli strikes.
Over four hundred Palestinian gunmen have been killed and dozens arrested during the fighting in Israel, according to the Israeli military.
Prime Minister Benjamin Netanyahu said Israel was going into a long and difficult war. He also warned Hamas, which governs Gaza, that its hideouts would be reduced to rubble.
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