Abstract Human evolution is characterised by extensive changes of body and brain, with perhaps one of the core developments being the fast increase in cranial capacity and brain volume. Paleontological records are the most direct method to study such changes, but they can unfortunately provide a limited view of how ‘soft traits’ such as brain function and cognitive abilities have evolved in humans. A potential complementary approach is to identify when particular genetic variants associated with human phenotypes (such as height, body mass index, intelligence, and also disease) have emerged in the 6-7 million years since we diverged from chimpanzees. In this study, we combine data from genome-wide association studies on human brain and cognitive traits with estimates of human genome dating. We systematically analyse the temporal emergence of genetic variants associated with modern-day human brain and cognitive phenotypes over the last five million years. Our analysis provides evidence that genetic variants related to neocortex structure (e.g., area, thickness; median evolutionary age = 400,170 years old), cognition (e.g., fluid intelligence; median age = 459,465), education (median age = 637,646), and psychiatric disorders (median age = 412,639) have emerged more recently in human evolution than expected by chance. In contrast, variants related to other physical traits, such as height (median age = 811,305) and body mass index (median age = 794,265), emerged relatively later. We further show that genes containing recent evolutionary modifications (from around 54,000 to 4,000 years ago) are linked to intelligence ( P = 2 × 10 −6 ) and neocortical surface area ( P = 6.7 × 10 −4 ), and that these genes tend to be highly expressed in cortical areas involved in language and speech (pars triangularis, P = 6.2 × 10 −4 ). Elucidating the temporal dynamics of genetic variants associated with brain and cognition is another source of evidence to advance our understanding of human evolution.