Dynamics of lithium ions in lithium borophosphate glass has been investigated. The mean square displacement of the lithium ions in the conduction process through the glass matrix has been estimated by using linear response theory. The lithium ions perform diffusive motion in long time scales but perform non-random correlated motion in short time scale. A new model has been proposed in the context of jump relaxation theory of K. Funke to investigate the time and temperature dependence of the mean square displacement. Experimental data can be successfully fitted with this model. Two types of activation energies such as ac activation energy and dc activation energy play a key role in ion dynamics. Perfect superposition of the mean square displacement curves at different temperatures indicates that the dynamics of the lithium ions is independent of the temperature.