Electrical conductivity and dielectric relaxation studies on a large number of lithium ion conducting glasses belonging to the ternary glass system Li2SO4-Li2O-P2O5 have been carried out over a wide range of temperature (150 K to 450 K) and frequencies (10 Hz-10(7) Hz). DC conductivities exhibit two different activation regions. This seems to be suggestive of the presence of a cluster-tissue texture in these glasses The clusters may be of both LI,SO, and lithium phosphate and are held together by a connective tissue of average composition. This conjecture seems to be well-supported by the ac conductivity behaviour of these glasses which have been analysed using both power law and stretched exponential relaxation functions.