A molded composite battery enclosure containing top and bottom composite covers attached together. The joined top and bottom composite cover structures form an enclose or open area for housing a battery system of battery cells and cooling devices. The composite battery enclosures are lightweight and made of materials that can function to absorb energy and insulate the battery housing area. The composite structures contain a core material adhered and sandwiched between skin fiber layers and an electromagnetic shielding material or resin incorporated into one of the composite structures.