The report said the drone was intercepted and destroyed earlier Tuesday.
Iranian officials said the downing marked the 146th drone shot down during the conflict.
The MQ-9 Reaper, widely used for surveillance and strike missions, has an estimated cost of about $30 million per unit.
The US military carried out strikes on Iranian ammunition bunkers near Isfahan overnight, with footage circulating online showing large secondary explosions.
President Donald Trump shared one of the clips on his Truth Social platform.
Following reports of alleged Israeli strikes inside Iran near a nuclear power station early Friday, the UN Secretary-General António Guterres issued a new appeal to all parties to “stop the dangerous cycle of retaliation in the Middle East”.
“The Secretary-General condemns any act of retaliation and appeals to the international community to work together to prevent any further development that could lead to devastating consequences for the entire region and beyond,” he said in a statement issued by his Office.
The Natanz uranium enrichment plant is located close to the region where the strikes are understood to have taken place.
A separate uranium conversion plant is located in Zerdenjan, a southwestern region of Isfahan. The site has been previously targeted by suspected Israeli sabotage attacks.
Earlier General Siavash Mihandoost, the Army’s senior official in Isfahan province, said the relatively loud sound of the explosion that was heard in the eastern parts of Isfahan on Friday morning was the result of shots fired at “suspicious” objects by the air defense units, Tasnim reported.
He said there have been no damages or specific incidents.
„The sound was related to Isfahan‘s air defense systems firing at suspicious objects and we have not had any damage or accident,“ Mihandoust said.
Officials also said important facilities in Isfahan province, especially nuclear sites, are completely safe.
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The Isfahan Nuclear Technology Center is Iran’s largest nuclear research complex and employs approximately 3,000 scientists, according to the nonprofit Nuclear Threat Initiative. It was built with Chinese assistance and opened in 1984. It operates three small Chinese-supplied research reactors, the NTI says, adding that the facility is also the target of both U.S. and U.N. sanctions.