Abstract: The invention relates to a process and a continuous-casting mold for casting thin slabs. The mold has an oblong inner cross-sectional area and cooled mold walls. The melt is poured in through at least one delivery nozzle which dips into the melt. To ensure that, during casting, markedly lower stresses and, as a consequence thereof, fewer cracks appear in the strand shell, at least at the casting level being established and at least over a part of the depth of immersion of the delivery nozzle, the ratio of the gap widths S.sub.TI and S.sub.II/2 and the ratio of the cooling capacities L.sub.TI and L.sub.II of the mold wall are related by the equation:[S.sub.TI /(S.sub.II /2)]/[L.sub.TI /L.sub.II ]>1.S.sub.TI is the width of the gap formed in the zone immediately surrounding the particular immersed delivery nozzle by the outer surface of the delivery nozzle and by the inner surface of the directly opposite mold wall, and S.sub.