A process for producing a polyolefin-based resin composition comprises, in the first polymerization stage, polymerizing an .alpha.-olefin having 4 to 20 carbon atoms, a styrene or a cyclic olefin in the presence of a specific catalyst and, in the second polymerization stage, copolymerizing the obtained polymer with an .alpha.-olefin having 2 to 20 carbon atoms, a styrene or a cyclic olefin in the presence of a polyene. A polypropylene composition has a branching parameter a and a branching index g in specific ranges. The curve showing the change in viscosity under elongation with time, the degradation parameter D or the content of a high molecular weight component is specified. The polyolefin-based resin composition exhibits excellent uniformity and improved workability in melting due to improved tension in melted condition. The polypropylene composition exhibits excellent melting elasticity and secondary workability and provides foamed molded articles, sheets and blow molded articles.