A process for producing an ice, comprising the steps of allowing a material solution containing a sweetener to flow downward from the upper part of and along the surface of a freezing plate provided substantially upright, to thereby cause the material solution to freeze on and stick to the surface of the freezing plate to form an ice plate; breaking the ice place into ice pieces having a diameter of about 20 mm at maximum; and filling a container with the ice pieces. The material solution is so controlled as to flow down in such a quantity that at least 30% of the solution freezes on and sticks to the freezing plate before the solution reaches the lower end thereof, and has a concentration so adjusted that the ice plate has a fragmentation resistance of 1,000 mm or less as measured by the dropping test method.