The study examines the personality profile of gifted vs. average-ability students from the perspective of the FFM. The issue was approached by (1) reviewing the literature for well-established personality characteristics of the gifted, (2) establishing correspondences between these traits and FFM domains/facets, and (3) formulating a domain and a facet-level model which were hypothesized to discriminate significantly between gifted and nongifted students. The domain-level model consisted of Openness and Agreeableness. The facet-level model included 14 traits: Anxiety, Impulsiveness, Gregariousness, Assertiveness, Fantasy, Feelings, Aesthetics, Ideas, Compliance, Modesty, Tendermindedness, Order, Achievement, and Deliberation. The models were tested on three samples (N1=515 high-school students, 155 gifted; N2=132 psychology students, 28 gifted; N3=443 psychology students, 91 gifted). Results indicate that the domain-level model does not discriminate significantly between gifted and nongifted students in each sample, whereas the proposed 14-facet model yields a significant discrimination across all samples. The latter model may be further adjusted by removing facets which proved inconsistent or unsubstantial in distinguishing between the two groups. This yields a 7-facet discriminant function, which is also significant across samples, indicating that gifted students are consistently distinguished by a combination of high Ideas, Fantasy, Aesthetics, and Assertiveness, but low Gregariuosness, Modesty, and Tendermindeness. Educational implications and limitations are discussed. [Projekat Ministarstva nauke Republike Srbije, br. 179018]