We study the evolution of the galactic spin using data of high-redshift galaxies in the fields of the Great Observatories Origins Deep Survey. Through simple dynamical considerations we estimate the spin for the disc galaxies in our sample and find that its distribution is consistent with that found for nearby galaxies. Defining a dimensionless angular momentum parameter for the disc component of the galaxies (λd), we do not find signs of evolution in the redshift range 0.4 ≤ z ≤ 1.2. We find that the mass and environmental dependences of the spin of our high-redshift galaxies are similar to those of low-z galaxies, showing a strong dependence on mass, in the sense that low-mass systems present higher λd values than high-mass galaxies, with no significant dependence on the environmental density. These results lead us to conclude that although individual disc galaxies might occasionally suffer strong evolution, they evolve in such a way that the overall spin distribution of the galactic population remains constant from z ∼ 1 to the present epoch.