The invention discloses an equal-flow area conical screw-sleeve pair, which belongs to the application field of single-screw pumps. A conical sleeve comprises an inner curved conical sleeve surface, a big conical sleeve end surface, a small conical sleeve end surface, and an outer cylindrical conical sleeve surface; a big conical screw end surface and the big conical sleeve end surface compose an inlet end of the conical screw-sleeve pair; and a small conical screw end surface and the small conical sleeve end surface compose an outlet end of the conical screw-sleeve pair. The flow area of one section of the conical screw-sleeve pair is defined as a difference between the area of the inner curved conical sleeve surface and the area of an outer curved conical screw surface in the section. The equal-flow area characteristic and equal-cavity characteristic of the conical screw-sleeve pair can help increase the displacement of a single-head conical screw pump and reduce pressure fluctuation, so that flow is smoother; moreover, pressure rise from the inlet end to the outlet end is relatively small, relative sliding speed is low in the process of movement, consequently, abrasion is reduced, and the service life is prolonged.