"Multiple witnesses observed the exchange" at Florida's Tampa Bay Times Forum, the news network reported. Convention security and police immediately removed the two people from the arena, CNN said.
The convention released a statement about the Tuesday incident, saying: "Two attendees tonight exhibited deplorable behavior. Their conduct was inexcusable and unacceptable. This kind of behavior will not be tolerated."
The camerawoman and the two convention attendees were not immediately identified.
The network said it would have no further comment.