The official said that firefighting teams managed to extinguish the fire one day after the missile accurately hit the facility.
He added that there were no injuries or casualties, SPA reported.
The Saudi minister further said Aramco's supply of fuel to its customers has now come back to normal.
Early on Monday, the Yemeni Armed Forces’ spokesman, Brigadier General Yahya Saree, said the Arab country’s military fired a missile at a distribution station operated by the Saudi Aramco oil company in Saudi Arabia’s Red Sea city of Jeddah and struck it.
The attack was carried out with a Quds-2 type winged missile, Saree said in a tweet late on Sunday.
“The strike was very accurate, and ambulances and fire engines rushed to the target,” he said.
He further warned foreign companies and residents in Saudi to exercise caution as “operations will continue”.
Aramco’s oil production and export facilities are mostly in Saudi’s Eastern Province, more than 1,000 km across the country from Jeddah.
The military spokesman said the strike had been carried out in response to the Saudi-led coalition’s ongoing airstrikes against Yemen.
The Saudi-led coalition invaded Yemen in 2015. Since then, over 100,000 people have been killed, according to the US-based Armed Conflict Location and Event Data Project (ACLED).