The paper presents the results of measurements of a solid solution (1-x)K<sub>0.5</sub>Bi<sub>0.5</sub>TiO<sub>3</sub>-xSrTiO<sub>3</sub> (<i>KBT-ST</i>) ceramics with (for) x=0.001 for two different sintering temperatures (cases of times sintering): (1) at temperature 1303K for 6 hours (<i>KBT-ST</i> 1) and (2) at temperature 1313K for 6 hours (<i>KBT-ST</i> 2). In both cases, the X-ray diffraction study demonstrated the perovskite structure with a small amount of the second phase. Microstructure research with SEM allowed to observe well-developed grains for both obtained samples. Optical studies using Raman spectroscopy showed that the obtained samples have a local structure consistent with the base material K<sub>0.5</sub>Bi<sub>0.5</sub>TiO<sub>3</sub> (<i>KBT</i>). Dielectric study of these solid solution ceramics were taken in the temperature range from 293K to 873K and in the frequency range from 10 kHz to 1 MHz. These measurements allowed to observe in both cases a broad maximum similar to that for the base <i>KBT</i> ceramics. It has been observed that if the sintering temperature increase up to 1313K it causes a double increase in the dielectric constant and (it doubles the dielectric constant value and causes) the appearance of additional anomaly on the ε(T) curve at temperature approximately T<sub>d</sub>=521K.