High-ability pupils in primary schools often do not achieve up to their full potential and teachers seem to face difficulties to motivate these pupils. In this study 891 primary school pupils (463 high-ability pupils) were asked about their views on desired characteristics of good teachers by means of an open teacher-spider-questionnaire. The characteristics reported, were analysed using the three "basic needs" from the Self-Determination Theory. The answers of high-ability pupils were compared to answers of pupils from regular primary education. For both groups, teaching characteristics fostering relatedness, followed by competence, were mentioned most. It was autonomy which was mentioned less frequently by both groups. The answers of the two groups of pupils mostly corresponded, although some differences emerged in specific subcategories. High-ability pupils more frequently mentioned characteristics attuning to their needs (understanding) and encouragement (challenge), and mentioned "providing choice" less often. There were also some differences found between characteristics mentioned by (high-ability) boys and girls.