A polypropylene-based calendered or injection-molded article satisfying the requirements of (1) having a tensile modulus TM of 5 MPa or higher and (2) having, when measured by a differential scanning calorimeter (DSC), no melting point or a melting point Tm (.degree. C.) satisfying the formula: TM.gtoreq.5.times.Tm-450, is less tacky and excellent in flexibility and transparency. Such a polypropylene-based calendered or injection-molded article is produced from a propylene polymer satisfying the requirements of (1) having a component soluble in a 25.degree. C. hexane in a content H25 of 0 to 80% by weight; (2) having, when measured by a differential scanning calorimeter (DSC), no melting point or a melting point Tm (.degree. C.) satisfying the formula: .DELTA.H.gtoreq.6.times.(Tm-140) wherein .DELTA.H is a melting endotherm (J/g); and (3) having an intrinsic viscosity [.eta.] of 1 to 3 dl/g as measured at 135.degree. C. in tetralin.