A statement early today carried by the state-run Saudi Press Agency said rebels fired on the ship as it left Mokha, a strategic Red Sea port.
Saudi-led forces began their war in Yemen in March 2015, battling Shiite rebels known as Houthis who hold the capital, Sanaa, with their allies.
Emirati ships have been targeted before in the conflict.
The attack yesterday also comes after an international naval coalition said it would increase its patrols of waters off Yemen over concerns about attacks on ships there.
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