Overhumidification is common in tropical climates, where heat can cause condensation to form and humidity is so high that it can ruin even the well-stored cigar. The best thing you can do is prevent this by placing cedar strips or chips inside the humidifier. They will absorb any excess water and prevent the cigar from getting too wet in the first place. You may need to add or remove the amount of cedar chips until you see the cigars reach a good consistency and humidity level.
Resist the temptation of opening the lid of the humidor and expose the cigars to the air. This will either dry them out too quickly or cause the wood to absorb even more humidity, ruining the cigars once you finally close the lid. If the humidor itself seems to be too wet, add more cigars to the box. This will help distribute the moisture among all the cigars, rather than making just a few absorb all of it. Finally, move the humidor to a different room if necessary, so the box can go back to its normal condition.