Education is important in shaping professional identity, including how one approaches norms and normalisation. In the analysis presented in this study, nursing students' own constructions of norms and normality from the outlook of their education are highlighted and problematised. To deepen the understanding of these matters, the aim of this study was to explore constructions of norms and normality among students in nursing education. Students studying in a nursing department at a Swedish university college were approached and asked to consider open survey questions targeting their views on norms and normality; 154 of them replied. After a discourse analytic approach to the data, we could see how the students constructed norms and normality as (a) instrumental instructions, consisting of easy-to-digest statements grounded in the profession's obvious moral and ethical values, (b) limiting and frustrating obstacles for personal freedom that were important to challenge, (c) rules to be obeyed for the stability of society and (d) a matter of reflection, with each individual being responsible for understanding differences in norms, perspectives and opinions. We conclude that nursing education would benefit from norm-critical perspectives, problematising students' own positions to norms, power and privilege.