Electrical conductivity and ionic transport numbers have been measured of barium and calcium aluminates with composition CaO·nAl2O3 (n=7/12, 1, 2, 6) and 0.82 BaO·6Al2O3. At room temperatures these compounds are insulators, but at high temperatures mixed conductivity is observed. Ionic transport numbers depend on partial oxygen pressure and doping. The electrical properties are dominated by impurities. A discussion is given of the underlying defect mechanism in the different compounds.