A power distribution transmission unit (1) having a hydrostatic power branch (2) and a mechanical power branch (3) connected by a connection system (8). The connection system (8) at least partially damps transfer of oscillations between the power branches. The power flow can be passed between the power branches, via a connecting shaft (22) that compensates axial offset between a hydrostat shaft (18) of the hydrostatic power branch (2) and a mechanical branch shaft (20) of the mechanical power branch (3). The connecting shaft (22) is a hollow shaft and a spring device (27), elastically prestressing the hydrostat shaft (18), is arranged within the connecting shaft. The tooth profiles (23, 25) of the connecting shaft (22) are formed as curved outer teeth which engage in tooth profiles (24 and 26) of the hydrostat shaft (18) of the hydrostatic power branch (2) and of the shaft (20) of the mechanical power branch (3), in each case made as inner teeth.