The coalition destroyed a boat carrying explosives as it headed toward the tanker on Saturday, coalition spokesman Colonel Turki al-Maliki said.
Iran has strongly denied arming the Huthis and in December 2017 accused the U.S. of presenting "fabricated" evidence that a November 4 missile fired at Riyadh airport was Iranian-made.
A provincial health official says an airstrike by the Saudi-led coalition has struck a market in northern Yemen, killing 11 people, including an 11-year-old boy.
SABA news agency gave the same toll and accused the coalition of using cluster bombs in that attack in Kataf city.
The Red Sea is a key shipping route for world trade that connects the Middle East to Europe via the Suez Canal.
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"In a blatant violation of global law, the Iranian-Houthi militia on Saturday attempted an attack by three remote-controlled drone boats, targeting a Saudi oil tanker and threatening to disrupt navigation in Bab El-Mandeb strait", Colonel Turki Al-Maliki.
Last Friday, the coalition announced it had intercepted a Houthi missile that was also allegedly fired towards Najran from inside Yemeni territory.
The Shiite Huthi rebels control the main port of Hodeida among a string of Red Sea ports on Yemen's western coast that are vital entry points for food imports and aid.
Al-Maliki renewed his call to the global community to take more serious and effective steps to stop the blatant Iranian violations through the continued smuggling and transfer of ballistic missiles and weapons to terrorist groups.
Some 8 million people are on the brink of starvation, more than 10,000 have been killed and tens of thousands of others are struggling with cholera, diphtheria and other diseases.