One embodiment of the present invention provides polymer crystalline materials containing crystals of the polymer and satisfying the following requirements (I) and (II) or the following requirements (I) and (III): (I) the polymer crystalline materials a crystallinity of 70% or greater; (II) the crystals are 300 nm or less in size; and (III) the crystals have a number density of 40 μm−3 or greater. This allows an embodiment of the present invention to provide polymer crystalline materials which are excellent in properties such as mechanical strength, heat tolerance, and transparency or, in particular, polymer crystalline materials, based on a general-purpose plastic such as PP, which is excellent in properties such as mechanical strength, heat tolerance, and transparency.