A series of fifteen benzylidene-hydrazone analogues (3a-o), including eight new compounds, were synthesized and evaluated for their cytotoxic activities in four human cancer cell lines and for their antioxidant activities using DPPH. Of the tested compounds 3e, which possesses two methoxy substituents in its benzylidene phenyl ring, was found to be potently cytotoxic to all cancer cell lines tested with IC50 values of 0.12 (lung), 0.024 (ovarian), 0.097 (melanoma), and 0.05 μM (colon), and these IC50 values were comparable to those of the doxorubicin standard (IC50 = 0.021, 0.074, 0.001, and 0.872 μM, respectively). DPPH assay showed compounds 3f, 3i, and 3g had IC50 values of 0.60, 0.99, and 1.30 μM, respectively, which were comparable to that of ascorbic acid (IC50 = 0.87 μM). Computational parameters such as, drug-likeness, ADME properties, toxicity effects, and drug scores were evaluated, and none of the fifteen compounds violated Lipinski's rule of five or Veber's rule, and thus they demonstrated good drug-likeness properties. In addition, all fifteen compounds had a higher drug score than the doxorubicin and BIBR1532. In silico screening was also conducted by docking of the active compounds on the active site of telomerase reverse transcriptase catalytic subunit, an important therapeutic target of anticancer agents, to determine the probable binding properties. The total binding energies of docked compounds are correlated well with cytotoxic potencies (pIC50) against lung, ovarian, melanoma, and colon cancer cell lines indicating that the benzylidene-hydrazones could use for the development of new anticancer agents as a telomerase inhibitor.