The high-spin structure of the nucleus 104 Pd was studied through the 96 Zr( 13 C,5n) reaction at incident energies of 51 and 58 MeV, using the Euroball IV γ -ray spectrometer in conjunction with the DIAMANT charged-particle array. Several new medium-and high-spin bands were revealed. The already known positive-parity yrast and the negative-parity cascades were extended up to E x ∼ 13, ∼ 11, and ∼ 9 MeV with I π = (26 + ), I π = (23 − ), and (20 − ), respectively. The deduced band structures were compared with Woods-Saxon total Routhian surface (TRS) calculations. In addition, non-yrast low-lying positive-parity bands were identified, which were assigned to soft γ -vibrational excitations.