Direct catalytic asymmetric conjugate addition of terminal alkynes to alpha,beta-unsaturated thioamides under proton transfer conditions is described. Soft Lewis acid/hard Bronsted base cooperative catalysis is crucial for simultaneous activation of terminal alkynes and thioamides, affording the beta-alkynylthioamides in a highly enantioselective manner. Control experiments suggested that the intermediate copper thioamide enolate can work as Bronsted base to drive the catalytic cycle via proton transfer. The divergent transformation of the thioamide functionality highlights the synthetic utility of the alkynylation products.