If the project is in fact in Florida, there is a dewatering permit required. The type will likely depend on the requirements of the Water Management District the project is in. Typically, though you will need either a "No-Notice" Permit, a "Standard General" Permit, or an "Individual" Permit.
Which you require is determined by a number of things including, but not necessarily limited to: proximity to a wetland, State Waters, or other waters of the State; depth of dewatering; proximity to public water sources (supply wells for treatment plants); volume of dewatering; length of time dewatering will occur; etc.
You also have to have a dewatering permit if your project is within the boundaries of a Master Dewatering Permit. This can be the case if you single parcel project is within a master planned community.
If not in Florida, then I would find the water management district or equivalent agency, and find out their regulations. By the way, while the NPDES permit is usually not related to dewatering, you can violate your NPDES permit with bad dewatering practices.
Hope this helps,
Sasmo12