The jet had to maneuver to avoid collision with the QOM-1, coming just 200 feet laterally and 100 feet vertically of each other.
Tuesday's drone incident was the 13th unsafe or unprofessional maritime encounter with Iran of 2017, the newspaper reported.
The drone was not armed, the officials said.
He said that despite repeated radio calls to stay clear of flight operations near the Nimitz, the Iranian drone executed "unsafe and unprofessional" altitude changes near the F/A 18.
"The unsafe maneuver created a collision hazard and is not in keeping with global maritime customs and laws", the statement said.
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This is not the first time the US Navy has accused Iranian drones of operating unprofessionally while in close proximity to US ships.
The drone "created a collision hazard", U.S. Naval Forces Central Command said, adding that the actions were "not in keeping with maritime customs and laws".
The Navy has said the helicopter was on a routine patrol in worldwide airspace and that the flare was sacked after American ships saw the Guard vessels approaching at a high rate of speed and not responding to communications.
Officials have hit out against the "unsafe and unprofessional" pilot of an Iranian drone after it came close to striking a U.S. jet in the Gulf.
Earlier, the USNS Invincible, escorted by the British Royal Navy, experienced a close encounter with high-speed attack ships deployed by the Iranian Revolutionary Guard, ultimately compelling the USA spy ship and her formation to alter her course.