gsim seems to be on the right track. First determine where the moisture is coming from. Is it only from the chickens or do you have another water source that is creating higher than normal humidity. Do you have a leaky roof, do you have propper drainage around your coop, is the waterer leaking, are lawn sprinklers hitting it at night, etc.
Then fix the source of the water if you have above normal humidity. If your humidity is only caused by the chickens then the steps to solve that are pretty simple. Adding ventilation is the first step. Add vents low in the coop as well as high in the coop so you get a chimney effect and cross ventilation. You need to think about where air will come in and where air will go out and pick the best spots to locate the vents accordingly.
If that doesn't fix it then you go to adding foam insulation or fiberglass insulation (with a vapor barrier). The concept is to manage the location of the dew point. Right now the bottom of the metal is below the dew point so water condenses on the surface. If you only add fiberglass insulation you are just moving the dew point from the surface of the metal to a spot somewhere in the fiberglass batt. If you do not have a vapor barrier you will just have condensation in the batt and may get mold. This is where rigid foam insulation is advantageous. Being as it is water/air proof the humid air cannot enter the insulation and condensate because the dew point is encapsulated within the core of the insulation where the humid air cannot reach. However, this is where installation becomes critical. If you just loosely install the foam, humid air will just go around the foam and still condensate on the metal. To prevent this you install the foam without cracks or gaps. Use caulking or canned foam to fill gaps or holes and you will be fine.
Hope this helps.