Herein, new thiazole‐2‐yl‐based hydrazone derivatives were synthesized and assessed for in vitro anticancer activity against wild type A549, MCF7, DU145, and mutant H1975 cancer cell lines by 3‐(4,5‐dimethylthiazol‐2‐yl)‐2,5‐diphenyltetrazolium bromide (MTT) assay. Among all, 4‐(4‐Chlorophenyl)‐2‐(2‐((4‐methylthiazol‐5‐yl)methylene)hydrazineyl)thiazole (4b) elicited prominent anticancer activity against wild‐type epidermal growth factor receptor (WT‐EGFR) MCF7 cancer cell line with an IC50 value of 9.57 ± 1.80 μM, whereas 4‐Methyl‐5‐((2‐(4‐(4‐nitrophenyl)thiazol‐2‐yl)hydrazineylidene)methyl)thiazole (4c) showed appreciable activity with an IC50 value of 11 ± 0.7 μM against the mutated EGFR H1975 lung cancer cells. Doxorubicin and Osimertinib were used as the standard drugs for comparison of activity. Compound (4b) significantly increased early apoptosis (30.2%) and late apoptosis (7.6%) at a 5 μM concentration in comparison with the control (early apoptosis 2.5%, late apoptosis 1.2%). The molecular docking study was performed against mutant EGFR (T790M/C797S) (PDB: 5D41) enzyme to gain information about interactions of synthesized molecules with binding pockets. Moreover, ADME study and molecular dynamic simulation studies were accomplished to gain insight into drug‐likeness and conformational stability, respectively. The findings demonstrate a promising alignment between the observed anticancer effects and computational analyses.