In this work, we investigated the quantitative relationship between biological activity against NSCLC and the molecular structure of a series of 38 cyclohexane-1,3-dione-dimidone derivatives. For this purpose, molecular descriptors calculated by DFT-B3LYP/6-31G, topological and physicochemical analysis were used. The results of the evaluations of the QSAR models developed in this work via MLR and MNLR techniques indicate the high predictive power of these models, for the linear model (R² = 0.913; R²_CV = 0.85, R²_test = 0.934) and (R² = 0.991; R²_CV = 0.82; R²_test = 0.997) for the nonlinear model. Using predictions from the QSAR model, new molecular structures were designed, their activity against NSCLC was evaluated, and the most important interactions between these molecules and the human c-Met protein were predicted. Predictions from QSAR models, molecular docking and evaluation of in silico ADMET properties suggested that 1 of the 16 newly designed molecules is a candidate that may be a drug for NSCLC.