A transmitting and receiving system for digital communication on electric power-lines comprises a transmitting device and a receiving device. The transmitting device consists of an input terminal, a bipolar-pulse generator, a first piezoelectric substrate, first- and second coded IDTs, a first intermediary IDT, an electrode group, a synchronizing device, an envelope detecting device, a monopolar-pulse generator, and a mixer connected with electric power-lines. The receiving device consists of a receiving connector connected with the electric power-lines, a tuning coil, a second piezoelectric substrate, a second intermediary IDT, third- and fourth coded IDTs, a detecting device, and a detecting terminal. If a message digital-signal is applied to the bipolar-pulse generator via the input terminal, high-frequency bipolar-pulses (-1 and 1) are generated, and after all, are transduced to first- and second coded digital-signals at the monopolar-pulse generator. The first- and second coded digital-signals are delivered into the electric power-lines via the mixer. On the other hand, if the first coded digital-signal is received at the receiving connector, the first coded digital-signal is applied to the second intermediary IDT via the tuning coil. The first coded digital-signal is, after all, transduced to a first decoded pulse at the third coded IDT. In the same way, the second coded digital-signal is transduced to a second decoded pulse at the fourth coded IDT. As a result, an output digital-signal, which is composed of the first- and second decoded pulses and is equivalent to the message digital-signal, is detected at the detecting terminal via the detecting device.