Teachers play important roles in identifying and promoting gifted students. An open question is: Which student characteristics do teachers use to evaluate whether a student is gifted or not? We used data from a representative sample of Dutch primary school teachers (N = 1,304) who were asked whether or not they thought the students (N = 26,720) in their class were gifted. We investigated students' cognitive and noncognitive attributes as well as demographic factors that might be relevant for this judgment. In sum, the findings revealed that teachers considered students to be gifted when, in comparison with their peers, students were superior in cognitive domains, especially with respect to academic achievement, scored higher on openness to experience and lower on agreeableness, were male, were younger, and came from families with higher parental education. These findings are discussed in relation to research on teacher nominations, teachers' representations of giftedness and gifted students, and theoretical conceptions of giftedness.