Fourteen novel 4-(5-amino-4-cyano-1,3-oxazol-2-yl)benzenesulfonamides have been designed, synthesized, and characterized by spectroscopy and spectrometry methods. They have also been investigated on the NCI-60 cancer cell lines. The most activity compounds, 2, 3, and 9, in concentration 10 µM demonstrated mean GI50 values of 77, 70, and 68%, respectively, against the tumor cells. The best activity compound 2 showed the following GI50 values: non-small cell lung cancer (HOP-92) - 4.56 µM, breast cancer (MDA-MB-468) - 21.0 µM, melanoma (SK-MEL-5) - 30.3 µM. Besides, this compound indicates low toxicity with TGI and LC50 values >100 µM against all cancer cell lines. The COMPARE analysis (NCI) of compound 2 showed a very high correlation (r=0.91) with Tamoxifen as a selective estrogen receptors modulator. Molecular docking studies of ligand 2 demonstrated the complexation with estrogen receptors as a possible antitumor mechanism. The ADMET analysis of compound 2 indicates an optimistic prediction as an antitumor agent.