The invention is a film of a vinyl alcohol polymer that contains from 0.01
to 20 mol % of cationic group-containing units and contains from 0.5 to
24 mol % of .alpha.-olefin units having at most 4 carbon atoms. The
polyvinyl alcohol film gives polarizing films and polarizer which are
resistant to water and have good polarizing properties and which are free
from a problem of irregular coloration.