Different compositions of lithium aluminum phosphate glasses were prepared by melt quenching technique. The best bulk conductivity achieved by the sample G(3), (28 mol% of lithium oxide). Further, the investigation extended by crystallizing the G(3) sample at different temperatures, 200 A degrees C (GC(200)), 300 A degrees C(GC(300)), 400 A degrees C (GC(400)), and 500 A degrees C (GC(500)). The electrical measurements for all the glasses and glass ceramics were carried out in the frequency range of 1-10(5) Hz and at a temperature range of 393-513 K by the impedance spectroscopy. The variation of conductivity with frequency of the samples was explained in the light of different valency states of aluminum ions. AC conductivity data are fitted to a power law equation. Scaled spectra for ac conductivity and modulus data suggested that the present glass samples follow temperature independent conductivity distribution relaxation mechanism.