Abstract: Energetic cooling of the product is performed during continuous casting when, at the core, the product is in a phase of pasty solidification so that the differential thermal contraction between the mushy core and the already completely solidified outer shell produces a squeezing effect of the core by the shell. To this end, means for cooling the product are arranged on the casting machine at the end section of the metallurgical length. The process makes it possible to reduce, and even to avoid, the formation of inner cracks during cooling of the cast product which would lead to the presence of segregated areas in the axial zone. It is applied advantageously to the casting of steels reputed to be difficult to cast continuously, such as steels with a long solidification range whose carbon content is from 0.25 to 1.5%.