A large number of children (6 to 11% of all births) are born at a gestational age between 32 and 36 weeks. Little is known of long term outcomes for these moderate and late preterm children. In this review, results of 28 studies on school outcome, cognitive functioning, behaviour problems, and psychiatric disorders are presented. Overall, more school problems, less advanced cognitive functioning, more behaviour problems, and higher prevalence of psychiatric disorders were found in moderate and late preterm born infants, children, and adults compared with full term peers. Suggestions for future research are discussed.