The purpose of this study was to examine the system of the assessment in national curriculums including art education, and to propose the assessment for the next National Art Curriculum in relation to the core competencies and instructional methods in art education based on previous studies of co-workers. The assessment in the curriculum should be focused on examining students learning abilities and being a practical standard for teachers’ instructional guidance as feedback. For this purpose, the following were planned. First, each subject’s assessment in 2015 revised National Curriculum and historical change of the assessment in art education from the 1st to 2015 revised National Curriculum were examined. Second, the achievement and assessment standards of 2015 revised National Art Curriculum were analyzed in order to draw better implications. Third, the assessment methods in art education were proposed, which can be linked with the core competencies, the content system and instructional methods for the next National Curriculum. It was expected that this study would be used as a meaningful basic research for the development of the next curriculum.