A hollow-fiber membrane module comprising: a cylindrical case having a first end and a second end in a height direction, a plurality of hollow-fiber membranes housed in the cylindrical case, and a first potting part which bonds end parts of the plurality of hollow-fiber membranes located on the first end side of the cylindrical case while letting the end parts be open, wherein the hollow-fiber membrane has a breaking strength of 25 MPa or more, a filling ratio of the hollow-fiber membrane is from 40 to 80%, the hollow-fiber membrane has a pure-water permeation performance at 50 kPa and 25°C of 0.7 m 3 /m 2 /hr or more, the inside diameter of the hollow-fiber membrane is 0.5 mm or more, the porosity of the hollow-fiber membrane is from 40 to 80%, the hollow-fiber membrane is a hollow-fiber membrane containing a fluororesin-based polymer, wherein the fluororesin-based polymer means a resin containing at least one of a vinylidene fluoride homopolymer and a vinylidene fluoride copolymer, wherein the vinylidene fluoride copolymer is a copolymer of vinylidene fluoride and one or more kinds of monomers selected from vinyl fluoride, tetrafluoroethylene, hexafluoropropylene and chlorotrifluoroethylene, the hollow-fiber membrane has a columnar texture oriented in a longitudinal direction thereof, a) a molecular chain in the columnar texture is oriented in the longitudinal direction of the hollow-fiber membrane, b) a Raman orientation parameter v of the molecular chain is from 1.5 to 4.0, c) the ratio M/m between maximum Raman orientation parameter M and minimum Raman orientation parameter m being from 1.5 to 4.0, d) in the hollow-fiber membrane, an orientation degree π in X-ray diffraction measurement is less than 0.4, e) the columnar texture having a short-side length of from 0.5 to 3 μm, f) an aspect ratio of the columnar texture is 3 or more, and g) a thickness uniformity of the columnar texture is 0.50 or more, wherein all parameters are determined as detailed in the specification. a cylindrical case having a first end and a second end in a height direction, a plurality of hollow-fiber membranes housed in the cylindrical case, and a first potting part which bonds end parts of the plurality of hollow-fiber membranes located on the first end side of the cylindrical case while letting the end parts be open, wherein the hollow-fiber membrane has a breaking strength of 25 MPa or more, a filling ratio of the hollow-fiber membrane is from 40 to 80%, the hollow-fiber membrane has a pure-water permeation performance at 50 kPa and 25°C of 0.7 m 3 /m 2 /hr or more, the inside diameter of the hollow-fiber membrane is 0.5 mm or more, the porosity of the hollow-fiber membrane is from 40 to 80%, the hollow-fiber membrane is a hollow-fiber membrane containing a fluororesin-based polymer, wherein the fluororesin-based polymer means a resin containing at least one of a vinylidene fluoride homopolymer and a vinylidene fluoride copolymer, wherein the vinylidene fluoride copolymer is a copolymer of vinylidene fluoride and one or more kinds of monomers selected from vinyl fluoride, tetrafluoroethylene, hexafluoropropylene and chlorotrifluoroethylene, the hollow-fiber membrane has a columnar texture oriented in a longitudinal direction thereof, a) a molecular chain in the columnar texture is oriented in the longitudinal direction of the hollow-fiber membrane, b) a Raman orientation parameter v of the molecular chain is from 1.5 to 4.0, c) the ratio M/m between maximum Raman orientation parameter M and minimum Raman orientation parameter m being from 1.5 to 4.0, d) in the hollow-fiber membrane, an orientation degree π in X-ray diffraction measurement is less than 0.4, e) the columnar texture having a short-side length of from 0.5 to 3 μm, f) an aspect ratio of the columnar texture is 3 or more, and g) a thickness uniformity of the columnar texture is 0.50 or more, wherein all parameters are determined as detailed in the specification. a) a molecular chain in the columnar texture is oriented in the longitudinal direction of the hollow-fiber membrane, b) a Raman orientation parameter v of the molecular chain is from 1.5 to 4.0, c) the ratio M/m between maximum Raman orientation parameter M and minimum Raman orientation parameter m being from 1.5 to 4.0, d) in the hollow-fiber membrane, an orientation degree π in X-ray diffraction measurement is less than 0.4, e) the columnar texture having a short-side length of from 0.5 to 3 μm, f) an aspect ratio of the columnar texture is 3 or more, and g) a thickness uniformity of the columnar texture is 0.50 or more, wherein all parameters are determined as detailed in the specification.