Palestinian health officials said on Saturday that two Palestinian teenagers were killed and 12 others wounded in an Israeli air strike in Gaza city.
Reuters had reported earlier in the day, that sirens warning of incoming rockets fired from the Gaza Strip sounded in the Israeli city of Ashkelon, Israeli Army Radio said.
Two Israelis were wounded by Palestinian rockets in another town, a Reuters witness said.
The Israeli military struck dozens of militant sites in Gaza, as Palestinians fired dozens of rockets and mortar bombs at villages adjacent to the border throughout Saturday.
It was unclear whether any rockets had hit Ashkelon.
Targeting Ashkelon would be a sign that the militants were trying to reach deeper into Israel. A Reuters witness saw two women apparently wounded by a rocket which landed in the Israeli town of Sderot near the border.
Earlier on Saturday, the Israeli military said it struck several militant sites in Gaza in response to the renewed violence along the border.