The supercritical carbon dioxide extraction was applied to obtain essential oil from Pogostemon cablin in this work. Effect of extraction parameters including temperature, pressure, extraction time and particle size on ex-traction yield was investigated, and the response surface methodology with a Box-Behnken Design was used to achieve the optimized extraction conditions. The maximum yield of essential oil was 2.4356％under the con-ditions of extraction temperature 47 °C, pressure 24.5 MPa and extraction time 119 min. Moreover, based on the Brunauer-Emmett-Teller theory of adsorption, a mathematical modeling was performed to correlate the mea-sured data. The model shows a function relationship between extraction yield and time by a simple equation with three significantly adjustable parameters. These model parameters have been optimized through simulated annealing algorithm. The predicted data from the mathematical model show a good agreement with the exper-imental data of the different extraction parameters.