A new series of novel 7-hydroxy-4-phenylchromen-2-one (1a)-linked 1,2,4-triazoles were synthesised using a click chemistry approach. All derivatives were subjected to 3-(4,5-dimethylthiazol-yl)-diphenyl tetrazolium bromide (MTT) cytotoxicity screening against a panel of six different human cancer cell lines (AGS, MGC-803, HCT-116, A-549, HepG2, and HeLa) to assess their cytotoxic potential. Among the tested molecules, some of the analogues showed better cytotoxic activity than that shown by the 7-hydroxy-4-phenylchromen-2-one (1a). Of the synthesised 1,2,4-triazoles,the 7-((4-(4-Chlorophenyl)-4H-1,2,4-triazol-3-yl)methoxy)-4-phenyl-2H-chromen-2-one (4d) showed the best activity, with an IC50 of 2.63 ± 0.17 µM against AGS cells. Further flow cytometry assays demonstrated that compound 4d exerts its antiproliferative effects by arresting cells in the G2/M phase of the cell cycle and by inducing apoptosis. Collectively, our results indicate that the 1,2,4-triazole derivatives have a significantly stronger antitumour activity than 1,2,3-triazole derivatives. Most of the compounds exhibited better antitumour activity than the positive control drug 5-fluorouracil.