The decay of204Bi nuclei (I π=6+, T1/2=11·22 h) oriented in an iron host was investigated on the JINR low-temperature nuclear orientation facility SPIN. The orientation parameterB 2=1·17 (6) was obtained from the analysis of six prominent E1 gamma-transitions. From the measured normalized intensities of the gamma-rays observed some 70 values of multipole mixing ratios δ for the gamma-transitions in204Pb nucleus were determined for the first time. The spins 6, 6, 5 and 4 could be uniquely assigned to the204Pb negative parity levels at 3891·5 keV, 3768·4 keV, 3301·5 keV and 2338·2 keV, respectively. The spin-parity assignments of the levels at 4183·8 keV, 4094·2 keV, 3782·0 keV, 2506·9 keV and 2065·1 keV were confirmed as 6−, 6−, 5−, 5− and 5+, respectively. For the level at 3105·1 keV spin-parity 5− was suggested and spinparity 7− of the level at 2696·4 keV was called in question. The possible placements of the gammatransitions 3 1351·7 keV and 1353·4 keV in the decay scheme is discussed. The reorientation parameters for the long-living levels at 2264·2 keV (T 1/2=0·45 μs) and 1273·9 keV (T 1/2= =265 ns) were determined asG 2=0·41 (14) andG 2=0·60 (17), respectively. For the isomeric level at 2185·7 keV (T 1/2=67·2 min) the value ofG 2=0·88 (49) was proposed.