A method for producing a semiconductor device includes providing a semiconductor substrate having a first conductivity type; implanting protons through a rear surface of the semiconductor substrate of the first conductivity type; and forming a first semiconductor region of the first conductivity type in the semiconductor substrate by performing an annealing process in an annealing furnace in a hydrogen atmosphere having a volume concentration of hydrogen that is equal to or greater than 0.5% and less than 4.65%, the first semiconductor region having a higher impurity concentration than that of the semiconductor substrate after the implantation step. The method reduces crystal defects in the generation of donors during proton implantation and improves the rate of change into a donor.