Abstract. Structure of the |K ± 2| bands in doubly-odd nuclei belonging to the transitional deformation region at A∼190 is discussed. Relation of these quasi gamma-bands with the non-axial deformation of the parent twoquasiparticle configurations is studied. Using available experimental information, new tentative |K ± 2| bands are proposed in 188 Re, and 192,194 Ir nuclei. Coexistence of two-quasiparticle states with different deformation modes is considered in the case of 188 Re and 194 Ir.