A propylene polymer composition contains the following components (A), (B), and (C) and satisfies the requirements (1) to (4): Component (A): a propylene polymer, Component (B): an elastomer, Component (C): a propylene block copolymer; Requirement (1): the propylene polymer composition has a melting point of 100° C. or more; Requirement (2): the propylene polymer composition has a limiting viscosity of 1.0 dl/g or more; Requirement (3): at least one of the number-average molecular weight of a component insoluble in p-xylene at 25° C. of the propylene polymer composition and the number-average molecular weight of a component insoluble in n-heptane at 25° C. of the propylene polymer composition is 80000 or more; and Requirement (4): the ratio of the polystyrene-equivalent number-average molecular weight of the component (A) to the polystyrene-equivalent number-average molecular weight of the component (B) is 1.0 or more and 20 or less.