Dozens of explosions rocked the coastal enclave and ambulance sirens echoed through the night.
"No one from the resistance movements, including Hamas, has an interest in firing rockets from the Gaza towards the enemy", the official told AFP on condition of anonymity, evoking the possibility that it may have been caused by "bad weather".
The IDF also instructed Israeli farmers near the Gaza border to leave their fields on Monday afternoon.
There were no immediate reports of casualties in Gaza. Netanyahu also faces multiple bribery and corruption charges as well.
But early on Monday he said: "In a few hours, I will meet President Trump and immediately after that I will return to Israel to direct our actions close-hand". "I will not tolerate this", Netanyahu said. He said he had been briefed by the heads of Israeli security and that he would return to conduct Israel's response.
The reports were a sign that Israel was seeking to calm tensions. Seven people were wounded in the attack, including two babies.
The Israeli military said it identified a rocket fired from the Gaza Strip and was investigating. A member of Hamas claimed the launch had been an accident - the same explanation given for a March 14 attack on Tel Aviv.
Israeli military believe it was a self-manufactured rocket made by Gaza's rulers Hamas, and had a range of about 75 miles.
The two sides have managed to avert all-out war for five years, most recently with the help of Egyptian mediation after a major escalation in November last year.
Local media reported that air strikes landed in an agricultural area east of Khan Younis in Gaza's south.
"We continue to work with Egypt and all concerned parties to try to de-escalate the situation". The house was destroyed and seven people were injured, including a three year-old, a six month-old, a 12 year-old girl and a 60 year old woman.
The Israeli military said Saturday it launched airstrikes against two groups of Palestinians in Gaza, after they allegedly flew balloons rigged with explosives into Israel.
Ashkelon council said Monday evening that its schools would be closed Tuesday, and it was banning public gatherings of more than 300 people, the Walla news website reported.
Israeli security forces assess the damage to a home in central Israel that was destroyed by a rocket fired overnight from Gaza, Mishmarot, March 25, 2019.
It was the furthest a rocket has reached in Israel since the 2014 conflict in Gaza. One Israeli soldier has been killed. "In response, an Israel Defense Forces aircraft fired towards the terrorists".