Efficient viral gene expression is threatened by cellular stress response programmes that rapidly reprioritize the translation machinery in response to varied environmental assaults, including virus infection. This results in inhibition of bulk synthesis of housekeeping proteins and causes the aggregation of messenger ribonucleoprotein complexes into cytoplasmic foci that are known as stress granules, which can entrap viral mRNAs. There is accumulating evidence for the antiviral nature of stress granules, which is supported by the discovery of many viral factors that interfere with stress granule formation and/or function. This Review focuses on recent advances in our understanding of the role of translation inhibition and stress granules in antiviral immune responses.