High-resolution conversion electron- and γ-ray spectroscopy has been made on the transitions depopulating the three lowest excited states in 193Au and 195Au. The half-lives of these levels have been measured with the delayed coincidence method. The multipole assignments are for the transitions in 193 Au: 38.22 keV M1+(17.7 ± 1.0) % E2, 219.75 keV E2, 257.97 keV M1+(21 ± 7)% E2 and for 195 Au: 61.44 keV M1+(16.6 ± 1.0) % E2, 180.32 keV M1 + < 3% E2, 200.38 keV E2, 261.74 keVM1+(21.5 ± 4.0) % E2 . The obtained half-lives are for 193 Au: 38.22 keV level (3.81 ± 0.18) ns, 224.84 keV level < 0.03 ns, 257.97 keV level (45 ± 20) ps and for 195 Au: 61.44 keV level (3.0 ± 0.2) ns, 241.72 keV level < 0.03 ns, 261.79 keV level (54 ± 10) ps . A systematic compilation of absolute E2 and M1 transition rates in odd-mass Au nuclei is given and compared to the predictions of the pairing-plus-quadrupole force model and the core-excitation model.