It is an object to provide fine particles of bismuth titanate having
excellent dielectric characteristics, high crystallinity and a small
particle diameter, and a process for their production. The object is
accomplished by a process which comprises a step of obtaining a melt
comprising, as represented by mol % based on oxides, from 23 to 72% of
Bi.sub.2O.sub.3, from 4 to 64% of TiO.sub.2 and from 6 to 50% of
B.sub.2O.sub.3, a step of quickly quenching this melt to obtain an
amorphous material, a step of crystallization of bismuth titanate
crystals from the above amorphous material, and a step of separating the
bismuth titanate crystals from the obtained crystallized material, in
this order.