The attack injured five other people including two children, they said.
The officials said the blast shook Aden and sent a column of black smoke skyward.
ISIS group claimed responsibility for the attack in a statement carried by its Aamaq news agency.
It said an explosives-laden vehicle hit a supply and provision post belonging to the pro-UAE Security Belt Forces in Aden.
Aden, on the Arabian Sea, has been frequently hit by attacks blamed on Islamic militants.
It has been the seat of the government of President Abed Rabbo Mansour Hadi since 2014, when Shia rebels, known as Houthis, seized the capital Sanaa and forced him into self-exile.
A Saudi-led coalition backing Hadi has been at war with the Houthis since March 2015.
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