A method for producing an .alpha.-alumina particulate is described. The
method for producing an .alpha.-alumina particulate comprises steps of
(Ia) and (Ib), or a step of (II): (Ia) removing water from a mixture
containing water, a seed crystal and a hydrolysate obtained by hydrolysis
of an aluminum compound under conditions of a pH of 5 or less and a
temperature of 60.degree. C. or less, (Ib) calcining the resulted powder,
(II) calcining a mixed powder containing 75-1 wt % of an .alpha.-alumina
precursor (in terms of Al.sub.2O.sub.3) and 25-99 wt % of a seed crystal
(in terms of oxide of metal component).