Efforts made on the development of a novel, simple, cost‐effective, and efficient approach to fabricate a copper catalyst immobilized on mesoporous poly (acrylic acid)/poly (vinyl chloride) hybrid fibers (CuII@PAA/PVC) for versatile catalytic applications in A3, KA2, and decarboxylative A3 couplings has been described in this present work. The characterization of the mesoporous hybrid fibers was well performed by BET, FTIR, SEM, EDX, XPS, and TGA techniques. The pore structure and surface area were calculated by using BET measurement analysis. The obtained mesoporous CuII@PAA/PVC fibers exert high catalytic performance in the synthesis of propargylamines via one‐pot A3, KA2, and decarboxylative A3 reactions over a series of substrates without employing expensive ligands or inert atmosphere. The active Cu2+ species chelating with carboxylate groups in PAA/PVC hybrid fibers plays a key role in the catalysis. Meanwhile, the unique mesoporous structure and fiber morphology facilitate a better mass transfer and enlarge its contact area with substrates in the course of a reaction. Moreover, the Cu2+–carboxylate chelation could suppress the leaching of active Cu2+ species from the catalyst and thus lead to the catalyst has excellent performance and good durability as well as reusability.