On 26 September, al-Hassani allegedly tasked individuals to drive three vans, some of which were later determined to contain barrels of fuel, to the RAF Fairford base.
One of the men, a dual Iranian-Iraqi national, is accused of communicating with contacts in the UK from a prison in New York, where he is awaiting trial on previous charges.
The other two are accused of doing the same from Iran.
Seven men have been arrested in the UK over the incident.
Iran has strongly denied any involvement in the RAF Fairford incident, which came to light when suspicious vans were reported near the base.
On 22 August, al-Hassani paid one individual to"perform pre-operational surveillance of RAF Fairford's perimeter", the department said.
The suspects then gave the vans the appearance of vehicles used by a fuel delivery business and a swimming pool supply business, the department stated.
In the very early hours of 27 September, the vans were spotted by a local farmer who was heading home from a party and called the police.