Experts in different fields have claimed that the UK has experienced a process of growing economic inequality since the 1970s. Following Fairclough's dialectal-relational approach, this paper presents a detailed, systematic analysis of the representation of homeless people and homelessness in "The Guardian" and "Daily Mail" from 2000 to 2018, in order to explore how these have been discursively represented over time. Therefore, our study addresses two specific research questions: How have homelessness and homeless people been represented in the UK press? Are there any discoursal changes in representation with the passing of time? The analysis, which has employed mostly qualitative but also quantitative (statistical) methods drawing on corpus-assisted discourse analysis, is informed by the theory of TRANSITIVITY within Systemic Functional Linguistics. Results indicate that, within an overall negative representation of homeless people and homelessness in this period, there have been some significant discoursal changes over time. As such, this paper contributes to critical discourse studies and transitivity research on a relevant social problem, that of growing economic inequality in the UK.