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