The apparatus for implantation into a human heart comprises a pump (1) having an electrical motor (12), an inlet (9) for blood to be located in a first chamber of the heart an outlet (10) for blood to be located in a second chamber of the heart fixing means (2) for fixing the apparatus to a wall of the heart with the inlet in the first chamber and the outlet in the second chamber, an elongate conduit (7) which extends from the fixing means to the pump, and an electrical conductor (18) for connecting to the motor, the conductor extending along the conduit.