Turki al-Maliki said the kingdom's air defense had intercepted a ballistic missile fired by the Houthi rebels at a densely populated civilian area in Jizan, according to the Saudi Press Agency.
A Yemeni man mourns over the graves of his two children, who where killed when their bus was hit during a Saudi-led coalition air strike, that targeted the Dahyan market the previous day in the Huthi rebels' stronghold province of Saada on August 10, 2018.
"A hospital supported by our team in Yemen received the bodies of 29 children under the age of 15 and 48 wounded, including 30 children", the ICRC said on Twitter.
The ICRC said in its tweet: "Under worldwide humanitarian law, civilians must be protected during conflict".
The UN children's agency UNICEF said it was "very concerned with the initial reports of children being killed".
The Iranian backed Houthi rebels seized the capital of Sanaa in 2014 and overthrew the internationally recognised government led by President Abdrabu Mansur Hadi during a transition of power from former president Ali Abdullah Saleh.
On Wednesday night, Col. Al-Maliki stated that at (20:34) the Coalition Air Defense detected a ballistic missile launch from Northern Amran in Yemen, aimed at Saudi Arabia. But the coalition denied carrying out any attacks in the city, saying it follows a "strict and transparent approach based on the rules global law".
"Scores killed, even more injured, most under the age of 10", Johannes Bruwer, head of delegation for the ICRC in Yemen, said in a further Twitter post. The Saudi-led coalition has described the strikes as "legitimate", claiming that Houthi rebels used the children as human shields.
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The airstrike hit a bus that was ferrying civilians, including many school children, the elders said, speaking on condition of anonymity for fear of reprisals.
In March 2015 Saudi Arabia and other Arab states intervened on against the Houthis, and are continuing to do so.
Col Al Maliki said the coalition was not intentionally targeting civilians, saying the forces used "a high standard measure for targeting, ... civilian casualties are a loss to the coalition and we can not accept high civilian casualties in Yemen".
There was a horrifying attack Thursday in Yemen - a Middle Eastern country torn apart by a 3-year-old civil war.
Both the United Nations chief and the US State Department called for investigations into the strike. The paramedics present at sites reportedly said that they had found and treated 40 people with broken bones, cuts and bruises.
Saudi Arabia says this was a legitimate military operation, targeting Yemeni rebels backed by Iran, its arch enemy.
The Yemen war has killed more than 10,000 people, displaced more than two million and driven the country to the verge of starvation, according to the United Nations. "US mid air support", Murphy said in a tweet.