[PURPOSE] To provide a blood purifier which has high levels of blood compatibility, performance-retaining property when in contact with blood, and safety, and which shows an excellent water permeability-exhibiting rate after a priming treatment and has high reliability in long-term storage. [SOLUTION] A blood purifier assembled using a polyvinyl pyrrolidone-containing polysulfone-based permselective hollow fiber membrane bundle, characterized in that the amount of polyvinyl pyrrolidone which elutes from the hollow fiber membrane bundle is 10 ppm or less, the amounts of hydrogen peroxide which elute from extracts from all the sites of the hollow fiber membrane bundle are 5 ppm or less, when the hollow fiber membrane bundle is divided into 10 portions in the lengthwise direction to test the sites of all the 10 portions according to the method regulated in the Approval Standard for Dialysis-Type Artificial Kidney Apparatus, and the water permeability of the blood purifier found at a point of time when 10 minutes has passed since the priming treatment of the blood purifier is 90% or more of the water permeability of the same found at a point of time when 24 hours has passed since the priming treatment thereof.
