Ceramics based on zinc oxide doped with lithium was fabricated. It is shown that an increase in the lithium content in an amount up to 0.1% leads to a decrease in electrical conductivity, and then in the range up to 3% to its increase. The real and imaginary parts of the permittivity decrease with increasing lithium concentration over the entire range of measured frequencies (50 kHz - 3 MHz). Similarly, the signal of the EPR line with g-factor ~1.96 decreases. An analysis of the temperature dependence of the EPR signal intensity with a g factor of ~1.96 gives an activation energy of 0.06 eV, which practically coincides with the depth of shallow donors in ZnO. This makes it possible to identify the EPR signal with g-factor ~1.96 with oxygen vacancies.