The invention discloses a radial series high-pressure vortex pump which comprises a pump cover, a pump body, an impeller, a mechanical seal, a bearing, a pump shaft, a bracket and a coupler. The pumpbody is provided with two to four concentric annular concave flow channels which are sequentially enlarged in size from inside to outside on the central position of the axial section, and every two adjacent concave flow channels are connected by a reserved radial channel to form a series structure from the inner channel concave flow channel to the outer channel inner concave flow channel. The impeller is formed by radially superposing two to four blades with different diameters, and the blades at different positions correspond to the concave flow channels matched with the pump body. Accordingto the structure, the radial size is slightly increased compared with a horizontal single-stage vortex pump with the same specification, the axial size is the same as that of the horizontal single-stage vortex pump with the same specification, and therefore the volume of the pump is two times smaller than that of the horizontal multi-stage vortex pump with the same specification. The pump is simple in structure, small in size and light in weight, thereby being particularly suitable for being matched with a ship engine room.