The Israeli military said 15 targets were hit, including a weapons manufacturing facility, a naval compound and tunnels belonging to the terror group Hamas, which rules Gaza.
Later sirens alerts were heard in the South indicating another attempt at launching rockets towards Israel.
There had been reported casualties.
Following the rocket attacks, the prime minister held security briefings with military commanders at the defense ministry in Tel Aviv.
Earlier the IDF Spokesperson's Unit announced two rockets fired from Gaza towards the southern cities of Ashkelon and Ashdod, were intercepted by the Iron Dome missile defense system.
Rocket fire at the cities further away from the strip is unusual because the Gaza factions have been trying to avoid provoking Israel into broader action against the terror groups.
There however concern that the rockets available to the terror groups are more accurate as the intercepts prevented direct hits to the city center in Ashdod.