The Houthis - who have launched attacks on international shipping near Yemen since November last year, in solidarity with Palestinians in
Israel's war with Hamas - said they had targeted the Israeli city of Tel Aviv on the same night with two ballistic missiles and hit "precise military targets".
They also vowed to respond to the Israeli attacks.
"The Israeli attack will not deter Yemen from responding to this heinous aggression and supporting Gaza," the group's military spokesperson Yahya Saree said in a televised speech.
Israeli Defence Minister Israel Katz said Israel would continue to respond to Houthi attacks.
"I warn the leaders of the Houthi terrorist organisation: Israel's long hand will reach you as well," Katz said in a post on X. "Whoever raises a hand against the state of Israel, his hand will be cut off; whoever harms, will be harmed sevenfold."
The Israeli military said specialists were examining the site of the strike in Ramat Efal and it was trying to confirm whether one or two missiles had been fired.
Some Israeli media reported that the missile had hit the school, but Shoshani said the initial indications suggested it was hit by missile debris.
One possibility was that the fuel tank "which is an enormous piece of metal, kept going" after the missile was intercepted, he said.
"But again, we will be smarter when we see the results at the scene," he said.
Source: Reuters