Abstract: To continuously cast thin slabs or round ingots from copper alloys, which slabs or ingots have a diameter of 8 to 40 mm, the present method electromagnetically agitates the melt found inside the ingot mold. By properly dimensioning the agitator coil, the agitation power inside the melt is limited to within a range of about 0.5 to 100 W/cm3, while the pull-off rate of the casting strand is limited to within a range of 0.05 to 1.3 m/min.