A segregation preventive or eliminative operation in a continuous casting process is performed under the following conditions:The solidified/unsolidified ratio of the solidifying block is in a range of 0.5:1 to 0.9:1;The ratio between the overall compression .delta. (mm) versus thickness of the unsolidified area in the block (d mm) is greater than or equal to 0.5 or the thickness (d mm) of the unsolidified layer in the solidifying block is: ##EQU1## where D is the thickness of the block before compression. Casting speed may be controlled according to thickness of the solidifying shell at or near a crater end. Preferably, electromagnetic stirring is performed before performing compression forging.