Crystalline polypropylene excellent in rigidity, heat resistance and surface hardness is disclosed, having a ratio of weight average molecular weight (Mw) to number average molecular weight (Mn) (Mw/Mn) of 10 or more, an intrinsic viscosity [.eta.] of from 0.8 to 5.0 dl/g as measured in tetralin at 135.degree. C., a cold xylene-soluble content (CXS) of not more than 4% by weight, a density (d) of 0.910 g/cm.sup.3 or more as measured at 23.degree. C., and a long period (L) (.ANG.) as measured at 25.degree. C. by a small-angle X-ray scattering method satisfying relationship:L.ltoreq.LC=6667d-5894wherein d is a density at 23.degree. C.; and Lc is a value (.ANG.) obrained by equation:Lc=6667d-5894.A crystalline polypropylene composition containing the foregoing crystalline polypropylene, which is excellent in rigidity and heat resistance, is also disclosed.