Several studies suggest a different effect of intelligence and personality on creative achievement in the arts and sciences. There is also research showing that all these variables are influenced by both genes and environmental factors. The aim of this study was to move further and investigate whether the relative influence of genes and environment on the associations between personality, intelligence, and creative achievement differs between the arts and sciences. Measures of intelligence (Wiener Matrizen Test), personality traits (BFI-44), and creative achievement (Creative Achievement Questionnaire) were obtained from a twin cohort. The sample size differed between measures, ranging between 6606 and 9537 individuals (1349 and 2250 complete twin pairs). Firstly, we performed several phenotypic analyses. These analyses collectively showed that intelligence and the personality trait ‘openness to experience’ were the only traits which contributed significantly to achievement, in either creative domain. Intelligence showed a stronger association with science than with art (non-linear and linear form, respectively), while relations between openness and achievement showed the opposite pattern. Secondly, we performed genetic modeling. Univariate analyses showed artistic creative achievement to be the only variable significantly influenced by shared environment. Individual differences in the remaining traits could be accounted for by additive genetic effects and non-shared environment. Results from two trivariate analyses, which included intelligence, openness, and creative achievement in either the arts or sciences, indicated a substantial and fairly equal genetic overlap between openness and achievement in the two creative domains. Genes associated with intelligence however, played a significantly greater role in scientific achievement than in artistic achievement. In fact, the majority of genetic influences on intelligence were also involved in scientific creative achievement. There was also an overlap of unique environmental influences between intelligence and scientific creative achievement that was not present between intelligence and artistic creative achievement.