A continuous casting method is demonstrated, in which a slab including a liquid core 11 is bulged and then reduced in its thickness with a reduction roll pair 7, in which case, the uppermost surface of the lower roll 7b in the reduction roll pair 7 is located at a higher level than the lower pass line 9 of the slab. With this method, the slab can be efficiently reduced in its thickness without any loss of reduction force and the generation of segregation can be suppressed at the center area of the slab in the thickness direction.A continuous casting apparatus according to the invention is suitable for carrying out the continuous casting method according to the invention.A slab produced by the method according to the invention has good quality, since the segregation at the center area can be improved over the entire width in which the liquid core 11 is included.