Ionic Motion / Nonlinear Ionic Conductivity / Glasses / Glass CeramicsFrequency-dependent third-order conductivity spectra σ 3 (ν) of various ion conducting glasses and glass ceramics were obtained by applying sinusoidal electric fields with high amplitudes and by analysing the resulting higher-harmonic currents. In the DC conductivity regime, the third-order conductivity σ 3, dc was found to be positive for all materials and at all temperatures. From the ratio of the third-order conductivity to the low-field conductivity, σ 3, dc /σ 1, dc , apparent jump distances were calculated. These apparent jump distances are much larger than jump distances between neighbouring sites in the glasses and decrease with increasing temperature. In (Li 2 O) 1−x · (Na 2 O) x · Al 2 O 3 · (SiO 2 ) 4 glasses, the mixed alkali effect leads to a minimum in the apparent jump distance, while partial crystallisation of Li 2 O · Al 2 O 3 · (SiO 2 ) 2 glasses leads to an increase of the apparent jump distance. In the dispersive regime, the third-order conductivity σ 3 (ν) of all glasses and glass ceramics is negative and exhibits an approximate power-law dependence, however with a larger exponent than the dispersive low-field conductivity σ 1 (ν). For a given material, the third-order conductivity spectra σ 3 (ν) obey the time-temperature superposition principle and can be superimposed by using the Summerfield scaling. Remarkably, the shift between the σ 3 (ν) master curves of different materials is much stronger than the shift between the σ 1 (ν) master curves. In order to rationalize this effect, we calculate the nonlinear dispersive hopping conductivity in a double minimum potential approximation.