Chitosan-stabilised copper–iron oxide nanocomposite material is found to be a very efficient recyclable/reusable heterogeneous catalyst for azide–alkyne cycloaddition reaction under mild conditions. The as-synthesized nanocomposite material is magnetically recoverable and reusable for a minimum of four cycles without significant loss in its catalytic activity. The catalytic system is found to be highly useful for the regioselective synthesis of a wide range of 1,2,3-triazoles from various azides and alkynes.