We have considered here the relaxation properties of three dimensional lattice model of an electron glass. We have modeled the kinetics of site-occupation numbers as Ising spins by Kawasaki Dynamics. The master equation governing the dynamics is approximated by making mean field approximation. We have calculated the eigenvalues and localization characteristics of the linear dynamical matrix. The behavior of the eigenvalues at different temperatures is used to detect the presence of a possible dynamical transition. We have also calculated eigenvalues of inverse susceptibility matrix and its behavior with temperature is used as additional input to analyze the slow dynamics and aging. Due to localized states having long lifetime the dynamics of the system slows down with decreasing temperature. We found the gap exponent of density of states of Hartree energy to be close to δ≈d-1 as predicted by Efros and Shklovskii.