Heptakis(6-butylamino-6-deoxy)-β-cyclodextrin (2) forms 1 : 1 complexes with several inorganic anions in 0.10 mol dm−3 HCl or DCl at 25 °C. The binding constant for a complex of 2 with the SO42− ion was remarkably larger than those for complexes of 2 with univalent anions and those for complexes of the α- (1) and γ-cyclodextrin (3) analogs with the SO42− ion. The circular arrangement of the protonated amino groups in 2 may be advantageous for electrostatic interactions with the bivalent anion.