Disclosed is a propylene block copolymer having excellent flexibility and impact resistance and showing a good polymer powder form. Also disclosed is a process for producing the copolymer. More specifically, the copolymer is a novel propylene block copolymer which satisfies a specific requirement and is produced by a process comprising continuously performing a multi-step polymerization composed of a former step in which a propylene homopolymer component or a specific propylene copolymer component is produced in the presence of a metallocene catalyst carried on a support and a latter step in which propylene and a specific copolymer component are produced by gas phase polymerization.