Abstract Electrical conductivity measurements on silver thiogermanate glasses have been performed in extended temperature (20–600 K) and frequency (10 Hz–60 GHz) ranges. The data indicate the presence of three conductivity regimes: the d.c. regime with a deviation from Arrhenius law below the glass transition temperature, a dispersive region where σ( ω)= A ω s 1 (where s 1≈0.5 and A is thermally activated with an activation energy E 1≈(1− s) E d.c.) and a third regime where σ( ω)= B ω s 2 . At T<100 K the third regime can be accounted for by an asymmetric double well potential model. The third regime at high frequency (GHz range) and high temperature (>150 K) shows clearly a superlinear frequency dependence. Additional measurements are needed to clearly identify the temperature dependence of conductivity in this region.