A hybrid drive-bearing unit of an axial-flow pump rotor, in particular of a pump supporting heart function including a ring-shaped stator placed on a cylindrical bushing of the flow duct, inside which the a rotor with blades is installed snug fitted, wherein the blades are installed on the inside of the cylindrical rotor body, with at least one permanent drive magnet installed on the body, preferably a neodymium-based magnet, wherein the internal diameter (D4) of the flow duct bushing (4) along the length of the rotor body (1), increased by the range of working, post-axial shift of the rotor, is constant and determined as one of the values in the range between 0,50 and 0,7 of the external diameter (D7) of the stator (3) ring (5), whilst the external diameter (D3) of the rotor body (1) is constant along its entire length and determined as one of the values in the range between 1,1 and 1,3 of the internal diameter (D0) of the rotor body (1), wherein the external diameter (D7) of the stator ring (3) is between 1,4 and 1,7 of the sum of external diameter (D5) of the flow duct bushing (4) and of the drive magnet (2) thickness, whereas thickness (D2-D1) of the drive magnet (2) is constant and determined as one of the values in the range determined using the following relationship: 0,55≤D2+D1D6+D5+D2−D1≤0,7 whereD1 - internal diameter of drive magnets or of the single drive magnet,D2 - external diameter of drive magnets or of the single drive magnet,D5 - external diameter of the flow duct bushing (4),D6 - internal diameter of the stator (3) ring (5).