Hard-cooked eggs in the shell can be refrigerated up to one week. Peeled hard boiled eggs can be stored in the refrigerator in a bowl of cold water to cover for about 1 week (change the water daily) - or in a sealed container without water (cover the eggs with damp paper towels) for the same length of time.eeled hard boiled eggs can be stored in the refrigerator in a bowl of cold water to cover for about 1 week (change the water daily) - or in a sealed container without water (cover the eggs with damp paper towels) for the same length of time.