Dozens of sightings have been reported over New Jersey since 18 November, with 49 reported sightings on Sunday alone, Governor Phil Murphy said Monday.
Some of the flights have taken place near Picatinny Arsenal - a sensitive military research facility - as well as near President-elect Donald Trump's golf course in the town of Bedminster.
Murphy stressed that the drones don't appear to pose a public safety concern.
The FBI has so far been unable to explain the sightings.
"I don't have an answer of who's responsible," Robert Wheeler Jr, the assistant director of the FBI's Critical Incident Response Group told lawmakers at a congressional hearing on Tuesday. "But we're actively investigating."
New Jersey assemblywoman Dawn Fantasia disavowed the Pentagon's assertions.
"We know nothing, period," she wrote. "To state that there is no known or credible threat is incredibly misleading."
The Republican - who was briefed by the Department of Homeland Security on Wednesday - said the drones appear to avoid detection by traditional methods such as helicopter and radio.
Fantasia said the drones are up to 6ft (1.8m) in diameter, travel with lights turned off and "operate in a coordinated manner."
While the mysterious objects are not believed to be hobbyist drones, Fantasia said it remains unclear what they are.