The serious and growing impacts of invasive alien species (IAS) on the planet make it necessary to include this issue with greater determination in educational programs, with the aim of generating citizens capable of dealing with this environmental problem in a sustainable way. Likewise, the management of IAS represents a clear socio-scientific issue (SSI), which gives greater interest to its inclusion in school. At this point, future teachers play a key role, so that their knowledge, perceptions and attitudes on the subject must be evaluated. In order to deal with this objective, a questionnaire was filled out by 400 students of the degrees in early childhood education and primary education of the Universities of La Rioja (UR) and the Basque Country (UPV/EHU), Spain. Our results show that pre-service teachers do not perceive impacts of different types generated by IAS, and they show a clear lack of knowledge about transmission vectors. Likewise, they do not support various control measures, especially slaughter of invasive vertebrates, related to affective dimensions. These results highlight the need to work toward an appropriate integration of this issue at different educational levels, training students and educators, fostering favorable attitudes toward a sustainable management of IAS.