Propylene polymers and propylene resin compositions containing the polymers are used as molded articles used under stress for a long period such as automotive parts, housing parts, home appliance parts and electric power tool parts. Stress-resistant molded articles of the invention are obtained from these materials. A propylene homopolymer (A) satisfies the following requirements (1) to (3), and a polypropylene resin composition contains the propylene homopolymer (A). (1) The ratio (Mw/Mn) of weight average molecular weight (Mw) to number average molecular weight (Mn) according to GPC is in the range of 1.2 to 3.5. (2) Mn is in the range of 35,000 to 400,000. (3) The content of components soluble in o-dichlorobenzene at 90° C. is not more than 4 wt %.