The Saudi state news agency SPA cited a spokesman of the Saudi-led coalition, Lt. Colonel Mohammed Al-Hammadi, as saying that the missiles had been fired by Houthis.
Hamadi added that both of them were tracked and destroyed.
He said two civilians were injured after one of the downed missiles’ debris fell in a residential area.
Another coalition spokesman, Colonel Turki al-Malki, claimed that firing missiles at this time by the Houthis “does not reflect its announcement of acceptance of the ceasefire and de-escalation”.
Yemen’s defenseless people have been under massive attacks by the coalition for more than four years but Riyadh has reached none of its objectives in Yemen so far.
Since March 2015, Saudi Arabia and some of its Arab allies have been carrying out deadly airstrikes against the Houthi Ansarullah movement in an attempt to restore power to fugitive former president Abd Rabbuh Mansour Hadi, a close ally of Riyadh.
Official UN figures say that more than 15,000 people have been killed in Yemen since the Saudi-led bombing campaign began.
The Saudi war has impacted over seven million children in Yemen who now face a serious threat of famine, according to UNICEF figures. Over 6,000 children have either been killed or sustained serious injuries since 2015, UN children’s agency said. The humanitarian situation in the country has also been exacerbated by outbreaks of cholera, polio, and measles.