Ionic conductivity of Li+ conducting glasses with a macromolecular network made of PO4 tetrahedra and TeO4 bipyramids have been measured. Glass pellets, according to the formula 0.4Li(2)O-0.6[xP(2)O(5)-(1 - x)Te2O4] were obtained by room temperature quenching of melts in a brass mould. The glass forming domain was limited to 0.4 less than or equal to x less than or equal to 0.8 and the glass transition temperatures were between 240 degrees C and 320 degrees C. Ionic conductivities below T-g obey Arrhenius relationships with an almost constant pre-exponential factor A with a value of log A (S K cm(-1)) = 4.3 +/- 0.6. At constant temperature conductivity increases with x and a peak is observed at x = 0.6.