Impedance measurements were carried out on the oxide ion conductor Zn2-3xTi1+xO4 in the frequency range between 20 Hz and 10(6) Hz below 600 degreesC. The frequency dependence of the electric modulus M " shows the double peak shape in the cubic structure. These results art: different from the previously studied Zn2-x/2Ti1-xTaxO4 system where the single and double peaks have been observed for cubic and tetragonal phases, respectively. The M " profile of the present system was not significantly varied with the composition and activation energies could be obtained from both lower- and higher-frequency peaks. The lower-frequency relaxation was supposed to be: related to the long-range ion hopping, since the activation energy obtained from the lower frequency peak is close to that from the conductivity