| Polypodium remotum Desv., 1827 |
| Polypodium repens Aubl., 1775 |
| Polypodium repletum Christ, 1907 |
| Polypodium reptans Sw., 1788 |
| Polypodium resiniferum Desv., 1811 |
| Polypodium reticulatum L., 1759 |
| Polypodium revertens (Fée) E. Fourn., 1872 |
| Polypodium rhachipterygium Liebm., 1849 |
| Polypodium rhagadiolepis Fée, 1852 |
| Polypodium rhodopleuron Kunze, 1844 |
| Polypodium rigens Maxon, 1904 |
| Polypodium rigescens Bory ex Willd., 1810 |
| Polypodium riograndense (T. Wendt) Mickel, 2004 |
| Polypodium rivulare Vahl, 1807 |
| Polypodium rosei Maxon, 1916 |
| Polypodium rossii Christ ex H. Ross, 1912 |
| Polypodium rostratum Humb. & Bonpl. ex Willd., 1810 |
| Polypodium rosulatum Christ, 1896 |
| Polypodium rude Kunze, 1839 |
| Polypodium rzedowskianum Mickel, 2004 |