Abstract: A continuous freezing apparatus is provided with a flexible sheet conveyor arranged above products to be frozen placed on and carried by a steel conveyor so as to be in contact with the products and the flexible sheet conveyor is filled with cold brine, to thereby freeze said products through both upper and lower surfaces of contact. The width of the track of the flexible sheet is determined in such a manner that the track width is made substantially equal to the width of the flexible sheet at its turning areas where the flexible sheet does not in contact to the products and the track width is made narrow to the extent that a depressed slack sufficient to fill therein the cold brine is formed in the flexible sheet at a position where the flexible sheet is in contact with said products.