The comprehension of irony involves a sophisticated inferential process requiring language users to go beyond the literal meaning of an utterance. Because of its complex nature, we hypothesized that working memory (WM) and fluid intelligence, the two main components of executive attention, would be involved in the understanding of irony: the former by maintaining focus and relevant information active during processing, the latter by disengaging irrelevant information and offering better problem-solving skills. In this eye-tracking reading experiment, we investigated how adults (N = 57) process verbal irony, based on their executive attention skills. The results indicated a null (or indirect) effect for WM, while fluid intelligence directly modulated the comprehension and processing of irony during reading. As fluid intelligence is an important individual-difference variable, the findings pave the way for future research on developmental and clinical populations who tend to struggle with nonliteral language.