Abstract: Frozen ice products are prepared by freezing a first ice mixture in a first mold to form a core and then by freezing a second ice mixture about the core in a second mold. The core is prepared by introducing and freezing a first ice mixture in a mold having a grooved frustocylindrical hollowed interior which, after demolding, provides a frozen grooved ice article which is introduced as a core into a second mold having a frustocylindrical hollowed interior and which has been filled partly with a second ice mixture which is frozen. A striped product is produced by employing a second mold which has a hollow cross-section size not larger than the cross-section size of the hollow of the first mold so that the outer edge frozen core surfaces contact the second mold.