Herein, we present a new library of 3-(2-(pyrimidin-5-yl)thiazol-4-yl)-1,2,4-oxadiazole (14a-j) as an anticancer agent designed based on in silico fragment-based drug design (FBDD). The derivatives were synthesized and characterized by (HNMR)-H-1,(CNMR)-C-13, HRMS, and FT-IR. The library was named "pyrimidine-thiazole-1,2,4-oxadiazoles." In addition, the MTT assay was used to test the compounds (14a-j) for their potential anticancer activity in a panel of four human cancer cell lines, such as PC3 & DU-145 (prostate cancer), A549 (lung cancer), MCF-7 (breast cancer), and the normal Vero cell lines, using the widely used anticancer drug etoposide acting as a reference drug and positive control. The value obtained was presented as IC50 (mu M). The IC50 values of the reference standard ranged from 1.97 +/- 0.45 mu M to 3.08 +/- 0.135 mu M, while the library of tested compounds showed IC50 values ranging from 0.02 +/- 0.0031 mu M to 10.3 +/- 6.25 mu M. Among the tested compounds, six of them showed promising anticancer activity: 14a, 14b, 14c, 14d, 14e and 14j. Especially, one compound, 14a, showed excellent anticancer activity in all the tested cell lines. All compounds showed selective cytotoxicity against cancer cells but not against normal Vero cells (IC50 = >19 mu M), justifying the designing approach to develop a selective anticancer agent. These compounds were also subjected to docking experiments to investigate potential binding site interactions, and the results were consistent with the in vitro results.