The cigars in the box, and the wood are like a moisture "flywheel". Once you open the lid of the box, the ambient humidity inside pretty much changes to whatever the humidity in the room is. Leaving the cellophane on will mediate the change somewhat. I cut off the cellophane at the foot of the cigar to allow the moisture to better penetrate the cigar.
Unless you have an active humidification system, fluctuations in the humidity are a given. Not leaving the lid open too long will help.
You're not going to be able to maintain "perfect" humidity all the time over a period of time, but keeping the cigars from drying out too much is the goal.
In desktop humidors I like to use Xikar Gel humidfiers.