Abu Dhabi police said the fuel trucks exploded in the industrial Musaffah area near storage facilities of oil firm ADNOC, and the fire had broken out at a construction site at Abu Dhabi International Airport.
"Initial investigations found parts of a small plane that could possibly be a drone at both sites that could have caused the explosion and the fire," Abu Dhabi police said in a statement, adding there was no "significant damage".
According to the official UAE news agency three people have died and six more injured in the alleged attack. At this stage UAE officials have not confirmed that it was a drone attack from Yemen. An investigation is underway.
The Iranian-backed Houthis have claimed several attacks on the UAE in the past but Emirati officials have later denied they took place.
Some flights from the airport were delayed.
According to Associated Press, Iran had also issued a warning to the UAE last week that it would strike if the UAE “meddled” in Iraqi politics.
The Houthi's military spokesman said the group will announce details in the coming hours.
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