The aim of the study is focused on the characteristics and components of creativity as a multidimensional construct in the context of intelligence, divergent thinking and problem solving, and their incorporation into the definition and explanation of intellectual functioning of giftedness and talent. It shows the progress of the investigation from the initial postulates of Guilford about the nature and cognitive processes involved in the creative act, its features and components, development and differential expression in the high intellectual ability, and the neurological correlates neuropsychological research is beginning to show. We present the results obtained with 41 participants with high intellectual capacity profiles of giftedness or talent of 6 to 14 years. We measure their cognitive skills through BADyG or DAT tests, and creative skills by the Torrance Test of Creative Thinking (TTCT), in two measuring points. Analyses show comparatively among high ability profiles: 1) the creative measurement stability between the two time points, 2) statistically significant differences between the creative components of fluency, flexibility and originality, related to the profiles of giftedness or talent (convergent or divergent), 3) the statistically significant changes among the scores of the creative components, at all ages studied.