To illuminate ionic conduction behavior of super protonic phase of CsH2PO4 (CDP), quasi-elastic neutron scattering (QENS), pulse field gradient nuclear magnetic resonance (PFG-NMR) and H-1 NMR spin-lattice relaxation time (T-1) measurements were carried out. Diffusion coefficient of protons obtained from PFG-NMR reproduced well the electrical conductivity by using Nernst-Einstein equation. Comparison of PFG-NMR and T, provided a hopping distance of protons as 2.7 angstrom, which agreed with the next nearest proton sites in CDR On the other hand, QENS data was fitted well with a jump-diffusion model. Comparison of the jump diffusion coefficient and the correlation time obtained by QENS provided a librational correlation time of protons in the order of 10(-12) s. The present investigation suggests that different techniques, QENS and NMR, can observe protonic motions having different time constants including librational and translational motions within the hydrogen bonding network of CDP. (C) 2008 Elsevier B.V. All rights reserved.