The use of plants as medicine is as old as human civilization. People in both developing and developed countries use plants in an attempt to cure various diseases. Research has suggested that Ajwain, with scientific name Carum copticum possesses anticancer, antiseptic, carminative, antimicrobial, antiviral, antiulcer, antihypertensive, antitussive, antiplatelet, stimulant, diuretic. Most of its effects are often attributed to thymol that thymol is its major component. Therefore, necessity of thymol extraction is obvious. In this study, thymol was extracted via supercritical carbon dioxide with athanol as an entrainer and Subsequently the results were compared with Soxhlet method as the base case of 100% recovery. Design of experiment carried out with response surface methodology (RSM) using Minitab software. The operating temperature (35-75 ?C), the operating pressure (10-30 Mpa), the dynamic extraction time (40-120 min), and the flow rate of CO2 (0.8-2.4 ml/min) have been considered as operating variables. The extracted samples were analyzed by gas chromatograohy (GC). The thymol recovery results indicated that the data adequately fitted into a second-order polynomial model. R 2 and modified R 2 of the model are 98.42% and 97.04%. It was predicted that the optimum extraction conditions within the experimental ranges would be the extraction pressure of 19.5MPa, temperature of 35 ?C, flow rate of 1.68 ml/min, and exraction time of 111.87 min with 57.06 recovery. These were optimized by genetic algorithm, the optimal operating conditions were observed at 42.73 ?C, 20.42 MPa, 1.85 ml/min, and 104.3 min to achieve 56.078 recovery. There was good agreement between genetic and RSM methods of optimization. Also, in this study Mathematical modeling process has been done using two broken and intact cell model and shirinking model. The results show that both models are able to predict the experimental data, but shirinking model with R 2 =0.92 is more accurate match with the recovery of the experiment.