The storm ripped off roofs, felled trees and forced people to flee rising streams, according to local officials.
While there were no reports of fatalities, the loss of crops poses a threat to food supplies for Solomon Island subsistence farmers in the months to come.
Freda strengthened to a Category 3 storm over the northeastern Coral Sea, but weakened to a tropical storm before drenching the French overseas territory of New Caledonia late in the week.
Outer bands from the storm also brought locally heavy rains to the island nation of Vanuatu, well to the east of Freda's eye.
Cyclone Freda Track
Satellite Loop Data: CIMSS