Provided is an image coding method which obtains a picture, and codes the obtained picture. The image coding method generates a processing block, performs a first intra prediction that selects one intra prediction mode from a first set of candidates based on a component of a first signal contained in the processing block, performs a second intra prediction that selects one intra prediction mode from a second set of candidates based on a component of a second signal contained in the processing block. The first set of candidates includes a plurality of intra prediction modes, and the second set of candidates includes an intra prediction mode, having no dependency between the second intra prediction and the first intra prediction, of the plurality of intra prediction modes. The first intra prediction and the second intra prediction are performed in parallel.