We study the evolution of galaxy structure since z ∼ 1 to the present. From a Great Observatories Origins Deep Survey South (GOODS-S) multi-band catalog, we define (blue) luminosity-and mass-weighted samples, limited by M B −20 and M 10 10 M , comprising 1122 and 987 galaxies, respectively. We extract early-type (ET; E/S0/ Sa) and late-type (LT; Sb-Irr) subsamples by their position in the concentration-asymmetry plane, in which galaxies exhibit a clear bimodality. We find that the ET fraction, f ET , rises with cosmic time, with a corresponding decrease in the LT fraction, f LT , in both luminosity-and mass-selected samples. However, the evolution of the comoving number density is very different: the decrease in the total number density of M B −20 galaxies since z = 1 is due to the decrease in the LT population, which accounts for ∼75% of the total star formation rate in the range under study, while the increase in the total number density of M 10 10 M galaxies in the same redshift range is due to the evolution of ETs. This suggests that we need a structural transformation between LT galaxies that form stars actively and ET galaxies in which the stellar mass is located. Comparing the observed evolution with the gas-rich major merger rate in GOODS-S, we infer that only ∼20% of the new ET galaxies with M 10 10 M appeared since z ∼ 1 can be explained by this kind of mergers, suggesting that minor mergers and secular processes may be the driving mechanisms of the structural evolution of intermediate-mass (M ∼ 4 × 10 10 M ) galaxies since z ∼ 1.