Drone strikes hit a petroleum products distribution terminal in the southern Jizan region, a natural gas plant and the Yasref refinery in the Red Sea port of Yanbu, the ministry said in a statement on Sunday.
"The assault on Yasref facilities has led to a temporary reduction in the refinery's production, which will be compensated for from the inventory," it said, referring to Yanbu Aramco Sinopec Refining Company, a joint venture between Saudi Aramco and China Petrochemical Corporation (Sinopec).
Aramco CEO Amin Nasser told a call about the firm's earnings there was no impact from the attacks on its supply to customers.
The Saudi led-coalition battling the Houthis earlier said the assaults on Saturday night and Sunday morning had also aimed at a water desalination plant in Al-Shaqeeq, a power station in Dhahran al Janub and a gas facility in Khamis Mushait.
It said the attacks and debris from intercepted projectiles caused material damage but no loss of life.
Houthi military spokesperson Yahya Sarea said the group fired ballistic and winged missiles as well as drones at Aramco facilities in the capital Riyadh, Yanbu and "other areas", followed by attacks on "vital targets" in other Saudi regions.
The coalition said initial investigations showed the group used Iranian-made cruise missiles on the desalination plant and Aramco's Jizan distribution centre. It said Saudi air defences intercepted a ballistic missile and nine drones.
State media posted images and videos of projectile debris, damaged cars and structures, and firefighters dousing flames.
Saudi Arabia has struggled to extricate itself from the seven-year conflict which has killed tens of thousands and left millions of Yemenis facing starvation.
Houthi attacks on Saudi Arabia have also endangered the kingdom's airports, oil facilities and caused some civilian deaths.
United Nations special envoy Hans Grundberg is discussing a possible truce during the Muslim holy month of Ramadan which starts in April, his office said on Sunday. It was unclear if both sides had agreed on the UN plans.
The Houthis ousted Yemen's government from the capital, Sanaa, in late 2014, prompting the alliance to intervene.
The conflict is seen as a proxy war between Saudi Arabia and Iran. The Houthis say they are fighting a corrupt system and foreign aggression.
