The Israeli forces' tank has also targeted two of the Hamas' observation posts, the spokesperson added.
Prime Minister Benjamin Netanyahu at a security conference in Munich called the Gaza border incident "very serious" and pledged to "respond appropriately".
Sources in Gaza said Hamas and Palestinian Islamic Jihad officials who were in Cairo on Saturday night informed their Egyptian intelligence contacts that they have "no interest in an escalation with Israel", according to Israeli media.
"Hamas is responsible for the event and its ramifications, as well as for everything that occurs inside and outside Gaza, above and below the ground", the statement said.
On December 29, 2017, Israeli military aircraft and battle tanks carried out a series of attacks on the Gaza Strip.
Israel's attacks were the response to an explosion that left four soldiers wounded following a routine patrol on the border between the Gaza Strip and Israel.
Palestinian security sources said the explosion took place east of the city of Khan Yunis.
"Hamas will continue to resist and the Israeli attacks won't break our people's determination", he said.
But Israeli army spokesman, Lieutenant Colonel Jonathan Conricus, said there was no truth to the claim.
Hamas's armed wing, the Ezzedine al-Qassam Brigades, in a statement said they had fired at the Israeli jets overhead.
"There was no rocket fire shot towards Israeli territory", the IDF spokesperson said of the sirens heard hours after one rocket fired from Gaza hit a house in the community of Sha'ar Hanegev, causing significant damage but no injuries.
Wafa reported that the protesters were demonstrating against US President Donald Trump's decision to relocate the US embassy to Jerusalem and declare Jerusalem the capital of Israel.
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Tecklenburg said investigators have identified a person of interest in the case and they want to speak with him. They were not able to issue an Amber Alert because there was a lack of information on a possible suspect.