An airtight building can prevent the flow of water vapour into built assemblies - water molecules and air molecules are about the same size, and many water problems are caused by moisture following air that leaks out through poorly sealed areas.
This also means that airtight buildings need to take care of moisture levels in the air - too much or too little - with mechanical means.
Furnaces, HRV / ERVs and air conditioners can be coupled with dehumidifying equipment to regulate moisture.