"This is in response to the continued launching of incendiary balloons from the Gaza Strip into the territory of the State of Israel", it added. The IDF said that Israeli warplanes, combat helicopters and tanks hit a number of targets belonging to Hamas including "military facilities of Hamas's naval force, underground infrastructure and observation posts".
Israel says it holds Gaza's Hamas rulers responsible for all fire emanating from the territory.
Last night, Israel took another punitive measure against Hamas, limiting the fishing zone open to Gazans. There were no immediate reports of casualties on either side.
Israel's Defense Minister Benny Gantz has suspended fuel imports to Gaza as of this morning, August 13.
Israel, which deems Hamas a terrorist organisation, shuns direct negotiations and has never publicly acknowledged the deal.
Hamas spokesman Fawzi Barhoum responded, saying that "preventing the entry of fuel and goods is aggressive and unsafe behavior and Israel will be responsible for its consequences".
Israel had earlier shut down Gaza's main commercial crossing and reduced the area where it permits Palestinians to fish.
Palestinian analysts say fire from Gaza often aims to pressure Israel to give the green light for the transfer of Qatari financial aid into the Strip.
In Gaza City, a school run by the United Nations Relief and Works Agency (UNRWA) was damaged by one of the strikes, Gaza's Interior Ministry said.
Defense Minister Benny Gantz on Thursday morning approved barring fuel imports to Gaza following overnight consultations.
"Hamas will have to bear the consequences of the violence committed against the citizens of the State of Israel", COGAT said in a statement announcing the move.
However, only essential humanitarian goods are now allowed to enter Gaza from Israel through the Kerem Shalom crossing.
Despite a truce past year backed by the UN, Egypt and Qatar, the two sides clash sporadically with rockets, mortar fire or incendiary balloons.
According to Al-Hadath news website, Kan said that the late Israeli Prime Minister Levi Eshkol, who served from 1963-1969, laid down the bases of this plan.