Significance Stress granules, which are ubiquitous, non–membrane-bound assemblies of protein and RNA, form when translation initiation is inhibited, contribute to the regulation of gene expression, and are implicated in the pathologies of cancer and neurodegenerative disease. Understanding the mechanisms of stress granule assembly is crucial to gaining greater insight into their biological function and pathological misregulation. We provide evidence that RNA–RNA interactions contribute to the assembly of stress granules. Furthermore, we show that pathogenic dipeptides increase the propensity of RNA to assemble. Together, this argues that RNAs are assembly prone and must be carefully regulated. A summative model of stress granule assembly, which includes trans -RNA–RNA interactions, can be extended to other ribonucleoprotein granules in the cell.