A meromorphic functionf, defined in the unit diskDof a complex plane, is called a normal function ifwheref#(z) is the spherical derivativeoff. Furtherfis called a little normal function ifNormal and little normal functions are characterized by using different area integral conditions. Similar criteria for analytic Bloch and little Bloch functions have been given by K. Stroethoff and R.Zhao but as compared with meromorphic case these results have some clear differences.