Sirens were heard early on Thursday morning in the Gaza border area, after a relatively quiet night in Israel.
Earlier, at around 3:00 a.m. the Iron Dome system shot down a rocket headed towards Ofakim, a city near Beersheba in the south.
As rockets struck in the south, it appeared to be business as usual at Ben Gurion Airport.
With Hamas threats looming the Israeli Airports Authority said "all activities will continue normally, until further notice." International flights that were scheduled to depart from Terminal 1 were transferred to Terminal 3, according to an official statement. As for domestic flights, there was no change.
Hamas's military wing had previously said it would aim attacks at the airport and advised international airlines against flying in to Tel Aviv. According to a Hamas commander, Ben Gurion is supposed to be the"target of attack" for the day - a response to "the Israeli aggression."
The IDF struck 20 terror targets in the Gaza Strip overnight, an army spokeswoman said. 120 sites were struck in the past 24 hours.
Throughout Wednesday around 150 rockets were launched at Israel.
Meanwhile, across the border, Palestinians said four Gazans were killed and dozens more wounded in air raids near Rafah. That brings the Palestinian death toll since midnight to six. Two Palestinians were killed and three others injured in a strike in northern Gaza, according to Gazan medical sources
The latest casualties bring the death toll since Tuesday to 27, Palestinian media reported.