A magnesia-based beta alumina sintered body having the following features:
(1) the average crystalline particle diameter of beta alumina crystals as
calculated assuming that the beta alumina crystals are of a circular
section is in a range of 1-4 .mu.m;
(2) the amount of the beta alumina crystals having particle diameters not
more than 5 .mu.m is 85% to 98% when measured in a plane;
(3) the maximum crystalline particle diameter is not more than 300 .mu.m,
and the number of coarse particles having diameters falling in a range of
100 .mu.m to 300 .mu.m is not more than 1 as counted in an area of 10
mm.times.10 mm; and
(4) the content of crystals of sodium aluminate is 0.5 wt % to 6.0 wt %. A
process for producing such a magnesia-based beta alumina sintered body is
also disclosed.