There is high spatial overlap between grey seals and shipping traffic, and their functional hearing range indicates they are sensitive to underwater noise emitted by ships. However, there is still very little data about the exposure of grey seals to shipping noise, constraining effective policy decisions. Particularly, there are few predictions that consider the at-sea movement of seals. Consequently, this study aimed to predict the exposure of adult grey seals and pups to shipping noise along their threedimensional movement track, and assess the influence of shipping characteristics on sound exposure levels. Using ship location data, a ship source model and the acoustic propagation model RAMSurf, this study estimated weighted 24-hr sound exposure levels (10-1000 Hz) (SEL w ). Median predicted 24-hr SEL w was 128 dB re 1µP a 2 s and 142 dB re 1µP a 2 s for the pups and adults respectively. The predicted exposure of seals to shipping noise did not exceed best evidence thresholds for temporary threshold shift. Exposure was mediated by the number of ships, ship source level, the distance between seals and ships, and the at-sea behaviour of the seals. The results can inform regulatory planning related to anthropogenic pressures on seal populations.a This paper is part of a special issue on The Effects of Noise on Aquatic Life.