Abstract: The fluid pump comprises at least one pumping cylinder having a pumping piston mounted therein for reciprocating movement and including an inlet valve and an outlet valve for permitting the entry and exit, respectively, of fluid into the cylinder in response to reciprocating movement of the piston. A piston rod is connected to the pumping piston and extends outwardly from the cylinder where it is connected to a piston made of magnetic material. The magnetic piston is surrounded by a plurality of coils which are controlled for causing sequential actuation of the coils to move the magnetic piston back and forth in an axial direction, thereby causing reciprocating movement of the pumping cylinder. The method for pumping fluid with the pump comprises sequentially actuating different portions of the coils in such a manner that during movement of the piston between its extreme positions only those coils located most closely to the piston will be actuated at any given time.