Both vessels were carrying a total of four South Korean crew members, the ministry said. Neither ship is bound for South Korea.
Their departure leaves three South Korean-operated vessels inside the strait, including the HMM Namu, which is undergoing repairs at a port in Dubai after being struck in early May.
A total of 43 South Korean nationals remain aboard ships inside the strait, including 13 on South Korean-operated vessels and 30 on foreign ships.
The ministry said it had provided diplomatic support through the Foreign Ministry and assisted the vessels with real-time monitoring and navigational information during their passage.
Except for the vessel currently under repair, the remaining ships plan to transit the strait after consultations with relevant countries and in accordance with their operating schedules, including cargo-loading arrangements, it added.
A total of 26 South Korean-operated ships were stranded inside the Strait of Hormuz after Iran closed the waterway following the outbreak of the Middle East war in late February.
Two vessels were allowed to leave with Iran’s cooperation during the war. The remaining 24 have been gradually passing through the strait since the United States and Iran agreed to reopen the waterway as part of their peace deal.
Although ships from various countries continue to leave the strait, security conditions remain unstable.
The United States carried out airstrikes against Iran on Friday in response to an Iranian attack on a Singapore-flagged cargo ship transiting the Strait of Hormuz.
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