A linear relationship exists between the glass transition temperature (Tg) and the quadrupole splitting (A) of Fe(III). The linear relationship, termed 'Tg-A rule', has been verified in Al203.xFe203, 60CaO-10BaO.(30-x)AI203.xFe203, 60CaO.(40-x)Ga203.xFe203, and 50CaO.(50-x)Ga2OyxFe203 glasses. In these glasses, both the Tg and A decrease linearly with an increasing content of Fe203 (-40 mol%). The slope of the straight line, obtained from the plot of the Tg vs. A, was calculated to be 670-700 ~ revealing that the Fe(III) constitutes the skeleton of aluminoferrate and galloferrate glasses.