PURPOSE: To prevent the break-out and uneven thickness in the pull-up continuous casting.

CONSTITUTION: In a mold for the pull-up continuous casting where a sleeve 2 is mounted on the inner side of an annular water-cooled jacket 11, the water- cooled jacket 11 is covered by a refractory layer 14, and the inner side of the sleeve 2 is the die cavity 20, a break ring 6 having an inwardly faced annular projected bar 61 for preventing the break-out is provided at the lower part of the die cavity 20, and one or a plurality of annular grooves 3 are opened at the position higher than the break ring 6 on the outer surface of the sleeve 2.