Dynamics of water molecules in one-dimensional micropores AlPO4-5 and SAPO-5 frameworks was studied by measuring H-1 NMR spectra, second moment M-2 of line-width and spin-lattice relaxation time T-1. Although the presence of two kinds of water molecules free and bound on the capillary wall were reported in AlPO4-5, our NMR T-1 results imply the absence of two kinds of H2O motions, but the motional rate distributes from slow to fast jumps in both AlPO4-5 and SAPO-5.