The ionic motion of protons in yttrium doped SrCeO3 perovskite has been investigated by means of high temperature 1H NMR and ac electric conductivity measurements. The temperature dependences of line shapes and spin-lattice relaxation times (T1) were obtained. The inverse temperature versus logarithm of T1 plot shows asymmetric temperature dependence with respect to its minimum value, and was well interpreted using the classical Bloembergen, Purcell and Pound (BPP) formula with introducing distributions of the activation energies. The averaged correlation times of the proton hopping were obtained from the T1 data. The conductivity calculated from the Einstein equation using NMR correlation times assuming the jump distance of proton hopping as 1 angstrom yields quantitative agreement with the measured conductivity in a wide temperature range.