An accurate room temperature structure refinement of CsHSO4 in phase II, the thermodynamically stable phase at temperatures below 414 K, is reported. The compound is monoclinic, space group P2(1)/c, with lattice parameters a = 7.781(2), b = 8.147(2), c = 7.722(2) Angstrom, and beta = 110.78(1)degrees, as determined by single crystal X-ray diffraction. There are four formula units per unit cell and seven atoms in the asymmetric unit. The compound, comprised of zigzag chains of SO4 groups alternating with zigzag rows of Cs atoms, is isostructural to CsDSO4 [A.V. Belushkin, W.I.F. David, R.M. Ibberson, L.A. Shuvalov, Acta Crystallogr. B 47 (1991) 161-166]. The single, crystallographically distinct proton forms a "symmetry-free" hydrogen bond between O(1) and O(2). The S-O bond lengths are consistent with the presence of this bond. The hydrogen bond geometries in the protonated and deuterated compounds are within experimental error of one another, after taking due account of the difference in proton (or deuterium atom) positions as measured by X-ray and neutron diffraction.