A circuit for a ternary Domino reversible counting unit. The circuit includes a ternary adiabatic Domino D flip-flop, a ternary adiabatic Domino positive and negative circulation port, and a ternary adiabatic Domino T-operation circuit. The ternary adiabatic Domino T-operation circuit includes a first signal input end, a second signal input end, and a third signal input end, a selection signal input end, a signal output end, a first clock signal input end, and a second clock signal input end. The positive and negative circulation port includes a signal input end, a borrow terminal, a carry terminal, a first output end, a second output end, a first clock signal input end, a second clock signal input end, and a third clock signal input end. The D flip-flop includes a signal input end, a reset terminal, a set terminal, a reverse-phase set terminal, a signal output end.