Aramco said its facilities in Jizan, in southwestern Saudi Arabia, were "intact" and operating normally, after pictures were posted on social media of a fire sparked by a missile attack.
The statement described the attack as "one of the deadliest attacks on children since the conflict in Yemen escalated in March 2015".
A Saudi-led military coalition intervened in Yemen on March 26, 2015 to try to restore the government of President Abedrabbo Mansour Hadi.
The Saudi-led coalition is the only force known to carry out air strikes on Houthi rebel-held territory and has previously admitted to "erroneous" strikes that caused civilian casualties.
An air raid hit the criminal investigations unit in Yemen's rebel-held capital Sanaa on Sunday as insurgents battle the government, backed by a Saudi-led coalition, for control of the country. The four-storey building and a line of police cars parked outside were largely destroyed in the attack.
The Saudi-led military coalition which supports the government called for dialogue and for it to hear the demands of the separatists in the southern port city.
Saudi-led coalition aircraft on Monday struck a building in northern Yemen that housed a clinic, killing seven people, five of them children, residents said, the latest in a series of raids that have drawn international condemnation.
Saudi Arabia and its allies struck a day after Saleh's son vowed to lead a campaign against the Iran-aligned Houthis.
Iranian President Hassan Rouhani said on Tuesday that Yemenis would make those attacking their country regret their actions as a Saudi-led coalition pounded the rebel-held capital with heavy air strikes.