The hyperfine interaction constants A and B of six low-lying metastable fine structure states of the two iridium isotopes 191Ir and a93Ir and the electronic g-factors of these levels have been measured using the atomic-beam magnetic-resonance method. From the values of the magnetic-dipole interaction constants A, corrected for off-diagonal perturbations, we extracted the hyperfine anomaly of a pure 6s-electron state: 19ZAs193= 0.64(7)%. Using nonrelativistic approximations for the effective radial parameters the nuclear electric-quadrupole moments were obtained:(corrected for Sternheimer shielding effects).