An axial flow pump (10) is presented which includes a housing (1) with an inlet(2) and outlet (3) and a magnetically active rotor (5) in the housing which is providedwith a passage (6) in the interior and with at least one spiral-shaped vane (7)in the passage, wherein the pitch of the vane (7) varies in the axial direction.The axial flow pump (10) furthermore includes an electromagnetic drive (4, 8)with a stator (8) which is arranged at the housing and cooperates with a magneticallyactive rotor.