If the objects are confirmed to be drones - which at this point is unconfirmed - it is unclear who might be operating them.
Citing anonymous "high sources", New Jersey Republican representative Jeff Van Drew said that they were coming from an Iranian "mothership" in the Atlantic.
The Pentagon swiftly dismissed the comment, saying "there is no truth to that".
"There is no Iranian ship off the coast of the United States, and there's no so-called mothership launching drones towards the United States," deputy spokesperson Sabrina Singh told reporters.
Another lawmaker, Illinois Democrat Raja Krishnamoorthi - who is on a congressional committee that looks at China's Communist Party - told media outlet NewsNation that there is a "non-trivial" chance that China could be involved.
"It's definitely a possibility and the likelihood that they can then access data that is collected by these drones is very high," he said.
The Pentagon and White House have both insisted that there is no foreign origin for the objects.
Van Drew and other lawmakers have pushed back on those denials.
"Here's the deal: they don't know what it is. They don't know what it's about," Van Drew told Fox News. "They have no idea where it comes from, but they know what it's not about? That's nonsense."
In a separate incident across the country, a northern California man was charged on 11 December with flying a drone over and taking pictures of Vandenberg Space Force Base, located near Santa Barbara.
The incident is alleged to have taken place on 30 November, according to prosecutors.
The man, 39-year-old Chinese national Yinpiao Zhou was arrested just before he boarded a flight to China. He appeared in court on Tuesday and no plea was was taken.
There has been no suggestion that the incident is related to the spate of reported drone sightings on the east coast.