Yes, you can you bring cigarettes on a plane as either checked or carry-on luggage. On the other hand, smoking them is not authorised at any moment while in flight.
The TSA is extremely clear that you can pack cigarettes in your checked baggage as well as bring them through airport screening as carry-on or personal items.
Since there is no size or quantity restriction, you may potentially bring as much as you can fit in your bag.
You could have to go through a more thorough screening as a result, which might delay your passage through security. But even if you have several cartons of smokes, there shouldn't be a problem if you have nothing to conceal.