This study examines the discursive construction of ‘refugees’, ‘migrants’, ‘asylum seekers’ and other mobile humans in the Swedish press. Quantitative and qualitative methods from Corpus Linguistics and Critical Discourse Studies are combined to analyze a corpus of about 31 000 newspaper articles, published during 28 central months of the so-called ‘refugee crisis’, 2015–2017. The analyses show that many different labelling strategies are used to categorize humans that flee to Sweden into several sub-groups. These sub-groups are framed in different ways.