A propylene-based polymer which is suitably applicable to foam molding, sheet molding, blow molding or the like, because of having good flow characteristics, high melt tension, high swell ratio and thus good molding workability.It is attained by a propylene-based polymer or the like characterized by satisfying the following requirements (i) to (vi).Requirement (i): MFR is 0.1 g/10 minutes to 100 g/10 minutes.Requirement (ii): Q value by GPC is 3.5 to 10.5.Requirement (iii): ratio of components with a molecular weight of equal to or higher than 2,000,000, in a molecular weight distribution curve obtained by GPC, is equal to or larger than 0.4% by weight and less than 10% by weight.Requirement (iv): components, which elute at a temperature of equal to or lower than 40° C., are equal to or less than 3.0% by weight, in temperature rising elution fractionation by ODCB.Requirement (v): isotactic triad fraction (mm) measured with 13C-NMR is equal to or higher than 95%.Requirement (vi): strain hardening degree (λmax), in measurement of extensional viscosity, is equal to or higher than 6.0.