The Rey Auditory Verbal Learning Test, which requires the free recall of the same list of 15 unrelated words over 5 trials, was administered to 21 high-functioning adolescents and adults with autism spectrum disorder (ASD) and 21 matched typical individuals. The groups showed similar overall levels of free recall, rates of learning over trials and subjective organisation of their recall. However, the primacy portion of the serial position curve of the ASD participants showed slower growth over trials than that of the typical participants. The implications of this finding for our understanding of memory in ASD are discussed.