A magnetically driven axial-flow pump comprising: a pipe (P) with first inner diameter having a retaining part (B) with second inner diameter expanded relative to said first diameter; an electromagnet unit (1) arranged about the periphery of said retaining part of the pipe; a cylindrical rotor (5) accommodated in said retaining part of the pipe, said cylindrical rotor having a spiral vane (7) on its inner surface, said cylindrical rotor and said spiral vane being formed as a single piece without a joint, said vane having a through hole along its axis; and permanent magnets (6) mounted on the periphery of said cylindrical rotor, the assembly of said cylindrical rotor and said permanent magnets being shaped to fit rotatably in said retaining part of the pipe.
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