Continuously casting a billet with a small cross section by pouring molten steel into a mold using a cylindrical immersion nozzle is characterized by measuring the molten steel level in the mold using an eddy current sensor. The level is controlled based on the thus-measured value, motion of steel in the mold is adjusted by electromagnetic stirring, a cooling zone during the final period of solidification is disposed within a certain region ranging from the meniscus to the specific site, and casting speed is adjusted so that the region in which the solid phase ratio at the billet center is 0.3-0.99 may be included in the cooling zone during the final period of solidification. The secondary cooling water amount and the billet surface temperature at the entrance to the cooling zone the density of cooling water in the cooling zone during the final period of solidification are optimized.