A copper nanoparticles-catalyzed three-component coupling reaction of alkyne, dihalomethane, and amine (AHA coupling) was reported for the synthesis of propargylic amine. The catalytic AHA coupling reaction was carried out under mild conditions with dihalomethane as substrate and solvent, and good to excellent yields were also achieved. Furthermore, the nanoparticle catalyst could be recovered and reused effectively, and no obvious reduction on catalytic activity was observed for five recycles.