Abstract: In a process for producing a chemically blended propylene resin composition having an ethylene content of about 1 to about 40 mole % based on the entire monomer units of the resin composition which comprises (i) a pre-polymerization step, and (ii) a multiplicity of subsequent polymerization steps, the improvement wherein (I) the pre-polymerization step (i) is either (I-A) a step wherein about 1 to about 1500 g, per millimole of titanium atom, of ethylene is polymerized, (I-B) a step wherein about 1 to about 1500 g, per millimole of titanium atom, of propylene is polymerized, or (I-C) a step wherein about 1 to about 1000 g, per millimole of titanium atom, of an alpha-olefin having 4 to 10 carbon atoms is polymerized, and (II) said multiplicity of polymerization steps (ii) are the following steps (II-1), (II-2) and (II-3) which are carried out in separate reaction zones different from the reaction zone of the pre-polymerization step (i) in this order or in the order of (II-1), (II-3) and (II-2), (II-1) a step o