A process for producing roundish alumina particles includes the steps of
granulating a composition containing at least one pulverized product of
electrofused alumina and sintered alumina having a mean particle size of
5 to 35 .mu.m and at least one species selected from the group consisting
of a halogen compound, a boron compound and an alumina hydrate to obtain
a granulated product, heating the granulated product at 1,000 to
1,600.degree. C., and crushing the heated product.