The officials spoke on condition of anonymity because they weren't authorised to brief journalists.
It was the first such explosion of a naval mine since Yemen's civil war began. Saudi-led coalition forces combating Yemen's Shiite rebel forces, known as Houthis, had previously warned of the presence of naval mines planted by Houthi militants in the Red Sea.
Yesterday, medical and security officials said an airstrike by the coalition killed at least a dozen civilians and wounded dozens more when it hit popular market in Yemen's coastal Hodeidah province.
The war in Yemen, which began when Houthis seized Yemen's capital of Sanaa in September 2014, has killed more than 10,000 civilians and displaced over 3 million people.
The Saudi-led coalition began a campaign against the rebels in March 2015 in support of Yemen's internationally recognised government. The war has ground into a stalemated conflict in recent months. Peace efforts by the United Nations also have faltered.