Abstract: A casting support apparatus comprising pairs of opposed separate cooling plates arranged in an upper stage immediately below a mold and each having grooves in its surface; pairs of opposed separate cooling plates arranged in a lower stage immediately below the upper stage cooling plates and each having grooves in its surface; a plurality of cooling rolls each rotatably provided in a space formed between each two adjacent cooling plates in each of the stages, each of the cooling rolls being formed with annular grooves along its outer periphery; jet nozzles arranged for introducing cooling water into a space between a casting and the cooling plates in each stage from above the cooling plates; jet nozzles arranged for introducing cooling water into a space between the casting and the cooling rolls in each stage from above the cooling rolls; and auxiliary jet nozzles arranged for applying cooling water to the rear surfaces of the cooling plates in each stage.