Need-satisfying experiences corresponding to students' psychological needs of autonomy, relatedness, and competence lead to increased academic engagement and well-being. A lack of education-specific basic needs instruments validated in Swedish may inhibit basic needs research in Swedish-speaking student populations. Thus, the present study aimed to adapt the Need Satisfaction and Frustration Scale (NSFS) to the context of education in Sweden and validate this new Swedish NSFS in a sample of Swedish university students (n = 417, 59.7% women, mean age = 23.3 (SD = 4.3) years). Confirmatory factor analysis was used to investigate the dimensionality of NSFS ratings, followed by structural equation modelling of nomological networks of basic needs, academic engagement, life satisfaction, academic burnout, and perceived stress. The NSFS ratings were best described by a three-factor model with methods correction for reversed item bias. Results showed that each need uniquely contributed to perceived stress and academic burnout. Relatedness and competence, but not autonomy, were significant predictors of life satisfaction and academic engagement. The main study contribution was providing a Swedish NSFS to assess autonomy, relatedness, and competence in higher education. The results support the use of the Swedish NSFS as a three-dimensional measure of basic needs in Swedish-speaking student populations.