A microporous polyolefin membrane comprising a polyethylene resin, and
polypropylene having a weight-average molecular weight of
6.times.10.sup.5 or more and a heat of fusion of 90 J/g or more (measured
by a differential scanning calorimeter), a fraction having a molecular
weight of 5.times.10.sup.4 or less being 5% or less by mass of the
polypropylene.