This paper presents design of SD adder and PD adder on Multi-Valued Logic. For implementing of Multi-valued logic circuits we use Current-mode CMOS circuits and also use Voltage-mode CMOS circuits partially. The proposed arithmetic circuits was estimated by SPICE simulation. At the SD(Signed-Digit) number presentation applying Multi-Valued logic the carry propagation is always limited to one position to the left this number presentation allows fast parallel operation. The addition method that add M operands using PD( positive digit number) is effective not only for the realization of the high-speed compact arithmetic circuit, but also for the reduction of the interconnection in the VLSI processor. therefor, if we use PD number representation, the high speed processor can be implementation.