For nominal square contingency tables, Tomizawa [9] and Tomizawa and Makii [10] considered measures to represent the degree of departure from marginal symmetry. These measures attain the maximum value when one of row and column marginal probabilities for any category is zero. The present paper proposes two kinds of generalization of these measures so that the degree of departure from marginal symmetry can attain the maximum value even when the marginal probabilities are not zeros. An example is also given.