A method for producing a propylene-based block copolymer ensures excellent olefin polymerization activity and activity with respect to hydrogen (hydrogen response) during polymerization, and produces a propylene-based block copolymer that exhibits a high MFR, high stereoregularity, and excellent rigidity. The method includes copolymerizing propylene and an α-olefin in the presence of a catalyst that includes (I) a solid catalyst component that includes titanium, magnesium, a halogen, and a compound represented by R1O—C(═O)—O—Z—OR2, and (II) a compound represented by R3pAlQ3-p, to obtain a propylene-based block copolymer.