The temperature dependence of dielectric constant and electrical conductivity for the BBPS glasses system was studied over a temperature range between $30^{circ}C$ and $500^{circ}C$ and at a frequency ranged from $10^3$ Hz to $10^7$ Hz. The dielectric constant ${varepsilon}$ at room temperature of $xB_2O_3-yBi_2O_3-zPbO-5SiO_2 $ glasses was measured to be 15 at $10^5$ Hz for all samples and found to be almost frequency independent. At the relatively low temperature ranger (<$70^{circ}C$), the dielectric constant was almost temperature independent and above that it increased with increasing temperature: the rate of increase being different at different frequencies. This behavior could be explained on the basis of the presence of molecular dipoles. The dielectric constant was found to depend on the composition as well as the crystalline phases formed in the glass matrix.