A hydrodynamic machine has two blade wheels disposed opposite each other and together forming a toroidal working space. The space can be filled with a working medium to transmit torque hydrodynamically, by circulating the working medium in the space, from the first to the second blade wheel. The first blade wheel rotates about an axis of rotation. The second blade wheel rotates about the same axis of rotation in the same rotation direction as the first blade wheel or opposite thereto, or is held stationary. The blades of each blade wheel extend in an arc from a radially inner blade end on a radially inner wall of the working space to a radially outer blade end on a radially outer wall of the working space, and in plan view in the direction of the rotation axis the arc is in the shape of a circular arc on each blade wheel.