To provide an annealing method for press parts wherein the deterioration of shape and accuracy of a press molded press part arising from a remained strain energy, at a molded part especially can be prevented.

A press part 22 being fixed on a X-Y table unit with a correction jig 20 is annealed so that an elastic strain energy remained in the press part 22 can be dissolved by irradiating the part with a laser light continuously or on a spot. By doing so, the shape and accuracy of the press part 22 can be restored and maintained, or improved.