A hollow fiber membrane module using a sheet-form hollow fiber membrane having excellent cleaning properties in which the pressure resistance of a hollow fiber membrane anchor section does not deteriorate, even when the membrane area increases; a hollow fiber membrane module unit using the module; a membrane filtration device using the unit; and an operation method therefore are provided. The hollow fiber membrane module comprises sheet-form hollow fiber membranes and an anchoring member which anchors the sheet-form hollow fiber membranes in a roughly parallel manner while maintaining in an open state at least one end portion of the sheet-form hollow fiber membranes. The shape of an end face of a side of the anchoring member from which the hollow fiber membranes are exposed is roughly rectangular, and the shape of an end face of a side of the anchoring member toward which the hollow fiber membranes open is roughly circular.