The dual-action HIV-1 protease and reverse transcriptase inhibition potential of coumarin–AZT conjugates has been explored using saturation transfer difference (STD) NMR, computer modelling and enzyme inhibition techniques. Baylis–Hillman-derived 3-(benzylaminomethyl)coumarins have been treated, sequentially, with chloroacetyl chloride and propargylamine to afford alkynylated coumarins as substrates for Click Chemistry reactions with azidothymidine (AZT) in the presence of a Cu(I) catalyst. The dual-action HIV-1 protease (PR) and reverse transcriptase (RT) inhibition potential of the resulting N-benzylated cycloaddition products, and a series of non-benzylated analogues, has been explored using saturation transfer difference (STD) NMR, computer modelling and enzyme inhibition techniques.