What year is your TJ?

You may want to check all the seals around the doors and rear tailgate. They do sell hardtop insulation kits you may want to think about. My dad's YJ has the same problem only under certain weather conditions. Not often.

 

If the high humidity is condensing into drops, I'd try something like THIS. I know it sounds stupid, but this works like a champ in bathrooms/basements.

 

Do you have A/C? If so, turn it on, even if you have the temperature set to hot. It will help to dehumidify the air.

 

That has happened to me before. I figured out that it only happens if I have a sheet of ice or even snow on top of the jeep. I guess it keep the outside of the top cold and when the inside gets warm and creates condensation.

So from now on when there's snow on my top (or ice) I sweep it off before I leave and it hasn't happened since.

 

i had this problem once, it was after a big snow and there was alot of ice & snow on the roof. I had the same issue one morning. Cleaned it all off, and like above, just keep it cleaned off and havent had a problem since either. So i would have to agree that it is something to do with the snow/ice sitting on the roof

 

That would make some sense except that there was no snow. There was a bit of frost on the windows and maybe the top, but I've driven with inches of snow on my hardtop and had the heat on full blast and this never happened. Just seems really weird. What I assumed happened was somehow a sheet of frost developed on the inside of the top and then it dripped on me while melting, but I don't undestand how it could have frosted inside??

 

Maybe your top had some snow or ice on it some other day you took a short drive then it made condensation but not enough for it to drip on you and that froze so when you took it out the next time even with no snow on the roof it melted and dripped.
Maybe

 

Happened to me during the last snow storm. But like others posted there was a lot of snow on top.

 

as said, insulate it, or carpet the inside of the top..

or live with it.. mine does it a little too.. heck, my beers do that too!