A method for membrane filtration purification of suspended water,
comprising filtering the suspended water under an external pressure
through a porous hollow fiber membrane comprising a polyolefin, a
copolymer of olefin and halogenated olefin, halogenated polyolefin or a
mixture thereof and having an open area ratio in an outer surface of not
less than 20% and a pore diameter in a minimum pore diameter layer of not
smaller than 0.03 .mu.m and not larger than 1 .mu.m.