Abstract Identifying areas at high risk of invasion is considered an important step for prioritization of phytosanitary measures to prevent biological invasions. Because climate change is likely to affect species' habitat suitability, ideally this should be considered in invasion risk assessments. We evaluated whether climate change affects habitat suitability and invasion risk of eight potentially invasive Eucalyptus pests in Brazil: Eucalyptolyma maideni, Mnesampela privata, Ophelimus maskelli, Orgyia postica, Paropsis atomaria, Paropsisterna beata, Paropsisterna cloelia and Trachymela sloanei. The shifts in the distribution range varied depending on the species, year and climate change scenario. While a decrease in the distribution range was predicted for four species, an increase was predicted for two species. Moreover, a decrease and/or increase in distribution depending on the climate change scenario was predicted for two species. Increases in invasion risk were predicted in major Eucalyptus‐producing areas near international airports and high cargo volume seaports. Our study provides an important contribution to knowledge on the effects of climate change on the distribution of eight potentially invasive Eucalyptus pests and reinforces the need to consider the changes in species' habitat suitability in invasion risk assessments.