The coping styles hypothesis in animals has recently received much attention in studies investigating individual differences in personality characteristics partly because of its apparent success in describing the coping strategies used by mice and other species. Pigs, also have large inter-individual variation in behaviour, and show similar reactions to challenging events over time and across related situations. This study evaluates the validity of this hypothesis for predicting the coping responses of pigs by testing for predicted correlations between responses to a variety of challenges. Animals were exposed to an immobility test at 3 weeks of age. At 8 and 24 weeks, animals were exposed to an unknown pig in the test animal’s home cage, a human in the home cage, and a novel object (bucket) in a novel arena. Many of the behavioural measures had some repeatability between the ages of 8 and 24 weeks, despite significant changes in the observed level of responses, but there were few correlations between responses to social and non-social situations. The results indicate that the coping styles hypothesis has very limited value in predicting the coping responses of pigs representing the population as a whole. It is suggested that future research on pig personality should investigate the possibility that specific coping behaviours for example, those mediated by fear and anxiety, may have consequences for different elements of coping ability related to welfare and productivity.