Five grad rockets fell in open areas, one near Ofakim, one south of Ashkelon and three in Be’er Sheva.
Rockets also fell in the Eshkol Regional Council.
A three-month-old baby was injured after a rocket fired at the Ashkelon Regional Council hit a car and caused it go up in flames.
The rockets were fired by Islamic Jihad which was evidently avenging an Israel Air Force air strike earlier in the day in which a senior operative, who was planning attacks against Israel from Sinai, was killed.
Earlier on Wednesday, seven rockets were fired at south Israel from Gaza.
The first landed at around 7 pm and exploded near Ashkelon. Minutes later, two rockets hit an open area near Ofakim, which was followed by four additional rockets fired at the Eshkol Regional Council.