Bowers was arrested Monday night at LaGuardia Airport as he prepared to board a US Airways flight to Raleigh, N.C., WNBC-TV, New York reported Tuesday.
He was charged with second-degree criminal possession of a weapon.
"We are aware of the situation and are gathering information," Buccaneers General Manager Mark Dominik said Monday in a statement. "We will withhold comment until we know all the facts."
Bowers -- an all-American at Clemson who was selected by Tampa Bay in the second round of the 2011 NFL Draft -- was arraigned Monday night.