A F-19 NMR investigation of anion deficient solid solutions of Ln(1-y)Cd(y)F(3-y) (Ln = Ce, Nd) with the tysonite-type structure has been carried out as a function of temperature. Exchange processes, at first between the F-1 and F-2 sublattices, then between the F, and F, ones, have been identified at increasing temperature between three initial fluoride sublattices. The F-1 sublattice of the tysonite-structure appears at the same time as the first sublattice that is mobile at low temperatures and the sublattice where guest-induced vacancies are preferentially located. Correlations have been established between the F- ion diffusion and the transport properties (Part I) determined by impedance spectroscopy.