1. In some creeping rhizomes of Polypodiaceae, leaves are arranged in two rows on the dorsal side of the rhizome. This is, however, to be seen in comparatively rare cases, such as Microlepiapilosella, M. Wilfordi and M. marginata. 2. In most creeping as well as erect rhizomes of Polypodiaceae, leaves ate arranged all round the rhizome, though the external appearance may not reveal this condition in the creeping rhizome. 3. The arrangement of foliar gaps of the stele in the rhizome is generally constant in every species, though in some cases there are slight variations. 4. The number and the position of departure of foliar traces are generally constant in each species. The former varies according to species from one to seven or more, at the point of departure from the gap. 5. The stele in some species shows solenostelic construction; e. g. Microlepia pilosella, M. Wilfordi, M. marginata. 6. Some species have the stele of transitional type between the solenostelic and the dictyostelic; e. g. Adiantum pedatum, A. monochlamys. 7. Rhizomes of most species of Polypodiaceae have dictyostelic stele. They may be classified as follows. A. Rhizomes with 1/3 phyllotaxy. I. Those with transverse commissures or with two and three meristeles in a cross section of the stele. a. A leaf with a single foliar trace. α. Clockwise phyllotaxy……Athyrium nipponicum. β. Counterclockwise phyllotaxy……Athyrium yokoscence. b. A leaf with two foliar traces. α. Clockwise phyllotaxy……Diplazium Wichurae. β. Counterclockwise phyllotaxy……Dryopteris decursivo-pinnata, Coniogramme fraxinea. c. A leaf with three foliar traces. α. Clockwise phyllotaxy……Plystichum lepidocaulon, P. aculeatum var. japonicum. II. Those wite oblique commissures or with three and four meristéles in a cross section of the stele. a. A leaf with two foliar traces. α. Clockwise phyllotaxy……Dryopteris africana, D. sophoroides, D. japonica, D. gracilescens var. abbreviatum, Diplazium lanceum. β. Counterclockwise phyllotaxy……Diplazium japonicum, D. Conilii, Dryopteris setigera, Asplenium incisum, Onocleasensibills. b. A leaf with three foliar traces. α. Clockwise phyllotaxy……Polystichum falcatum var. Fortunei. c. A leaf with several foliar traces. α. Clockwise phyllotaxy……Polystichum aristatum. B. Rhizomes with 2/5 phyllotaxy. a. A leaf with a single foliar trace. β. Counterclockwise phyllotaxy……Plagiogyria adnata. b. A leaf with two foliar traces. α. Clockwise phyllotaxy……Matteuccia orientalis. β. Counterclockwise phyllotaxy……Woodwardia radicans var. orientalis. c. A leaf with several foliar traces. α. Clockwise phyllotaxy……Polystichum varium. β. Counterclockwise phyllotaxy……Polystichum Standishii. 8. The length of the gap directly varies with that of the internode, that is to say, both are closely related to each other, so that the relation of the two consecutive gaps in one and the same row and the commissure between them is constant. The result is that the dictyostely and solenostely in Polypodiaceae are determined irrespective of the length of the internode in contradiction to what has been hitherto assumed by some authors, but chiefly by the length of the gap in the respective species.