Israel's rescue service says one Israeli was killed and about a dozen injured in barrage of Palestinian rockets from Gaza on southern Israel.
The rescue service said one person was killed in the desert city of Beersheba.
Three people were seriously hurt when a Palestinian rocket hit a house and a car in the same city.
Two children and a 4-month-old baby were injured by rocket shrapnel that hit a house in nearby Ofakim.
Some rockets were intercepted by the new Israeli anti-missile
system known as Iron Dome.
Israel carried out multiple airstrikes on targets in Gaza over the weekend, killing at least seven militants.
Violence began when attackers from Gaza ambushed vehicles in southern Israel on Thursday, killing eight people.