A simple and environmentally benign technology for synthesizing ultrasmall CuI nanoparticles (NPs) on the surface of the food additive hydroxypropyl methylcellulose (HPMC) and their application in completely organic solvent‐free tandem alkyne‐azide cycloaddition reactions were reported. The NP catalyst was thoroughly characterized by high‐angle annular dark‐field scanning transmission electron microscopy, high‐resolution transmission electron microscopy, energy‐dispersive X‐ray spectroscopy, and X‐ray photoelectron spectroscopy analysis for its morphology, particle size distribution, chemical composition, and oxidation state analyses. The NP catalyst was highly efficient, affording products in 10–45 min. All products were obtained in high purity by simple filtration, obviating organic solvents from the reaction set‐up to product isolation. The methodology is general and scalable as validated by a broad substrate scope.