A hollow-fiber porous membrane comprising a hollow-fiber form of vinylidene fluoride resin and satisfying the following properties (A) and (B), is provided as a hollow-fiber porous membrane of vinylidene fluoride resin having an average pore size and a further uniform pore size distribution (A) and a large water permeation rate regardless of good efficiency of blocking minute particles (bacteria) (B), as represented by: (A) a ratio Pmax (1 m)/Pm of at most 4.0 between a maximum pore size Pmax (1 m) measured at a test length of 1 m according to the bubble point method and an average pore size Pm of 0.05-0.20 μm measured according to the half dry method; and (B) a ratio F (L=200 mm, v=70%)/PM2 of at least 3000 (m/day·μm2), wherein the ratio F (L=200 mm, v=70%)/Pm2 denotes a ratio between F (L=200 mm, v=70%) which is a value normalized to a porosity v=70% of a water permeation rate F (100 kPa, L=200 mm) measured at a test length L=200 mm under the conditions of a pressure difference of 100 kPa and a water temperature of 25° C. and a square Pm2 of an average pore size Pm. The hollow-fiber porous membrane is produced by a process, comprising: subjecting a stretched hollow-fiber porous membrane of vinylidene fluoride resin to at least two stages of relaxation treatment in a non-wetting environment.