This invention provides a method in which the
polymerization activity in the first and second
polymerization steps is excellent, easily producing propylene-based block copolymers with high melt flow rates and a high proportion of propylene / α-olefin
copolymer components. A method for manufacturing a propylene-based block
copolymer includes using an
olefin polymerization catalyst, performing a first
polymerization step, and then performing a second polymerization step. The
olefin polymerization catalyst comprises (A) a
solid catalyst component for
olefin polymerization and (B) an organoaluminum compound. The (A)
solid catalyst component for olefin polymerization contains
titanium,
magnesium,
halogen, and a 1,3-diether compound. The first polymerization step is performed at a temperature of 45-65°C, where olefins containing 95-100% by
mass of propylene are polymerized to obtain a propylene-based
polymer. The second polymerization step is performed at a temperature of 50-90°C, in the presence of the propylene-based
polymer, where olefins containing 5% by
mass and less than 95% by
mass of propylene and α-olefins other than propylene are copolymerized to obtain a propylene / α-olefin
copolymer.