Research has shown that autonomy support has positive effects on academic development, but no study has examined how systemising cognitive orientation is related to important outcomes for science students, and how it may interact with autonomy support. This prospective investigation considered how systemising and support from teachers and parents influence motivation, self-efficacy and science performance of science students. Totally, two hundred and eighty eight high school students (143 females and 145 males) completed surveys at two times and records of their achievements were collected. Teachers' autonomy support and systemising were significantly positively related to motivation, self-efficacy and achievement over time, while parental support for autonomy was not directly related to the outcomes. Finally, two significant interaction effects showed that the relation of parental autonomy support to motivation and self-efficacy was moderated by systemising. This is the first study to demonstrate that autonomy support may be especially helpful for individuals with an intrinsic disposition in a domain.