Four species, seven nothospecies and seven varieties of Potentilla are described as new to science and some of them are illustrated. P. bidentula (without any close relationship), P. pycnophylla (closely related to P. papuana), one nothospecies (P. ×pantotricha) and three new varieties are described from New Guinea. One new variety is described from Sumatra, one from Sulawesi. P. spectabilis (of the P. fruticosa complex) is a new species from SE Tibet (Xizang). A new variety of P. peduncularis is described from Nepal, one nothospecies (P. ×aurantiaca) from Kashmir. P. hubsugulica (related to P. evestita) is described from N Mongolia, three nothospecies (P. ×ala-arczae, P. ×bishkekensis and P. ×solitaria) and one variety are described from the former Soviet Central Asia. One hybrid, previously found in the Russian Far East and E Mongolia, has been obtained now by experimental crossing and is described as P. ×recensita. From Canada the hybrid of P. hyparctica × P. litoralis is described as P. ×tundricola.