This study academically examined about whether STEAM education is really needed, as part of the convergence-style gifted education for training a producer in creative knowledge, through the documentary and Delphi survey. Based on the results, it developed STEAM education materials available for being applied to the domestically gifted education field, and examined the field applicability of the developed program. As a result of surveying validity and class satisfaction, the STEAM education materials of having been developed through this study were indicated to be useful in the aspects of the appropriateness for teaching-material composition, the learning satisfaction, and the promotion in the convergence-based thinking ability. The currently domestic situation is in being short of fundamental discussion about necessity or direction of STEAM education for gifted student, compared to an effort for emphasizing and activating policy of convergence-based education focusing on STEAM. Hence, the outcome of this study, which was performed on the basis of basic research on STEAM education for the gifted student, has significance in the aspect as saying of expanding applicability of STEAM education as the gifted education program.